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Worksheets

Electromagnetism and Circuits MCQs

Total questions: 99

Worksheet time: 50mins

Name
Class
Date
1.

Separated dipoles placed on the same line at a distance r interact with

a)

repulsive force that depends on rnr^n

b)

attractive force that depends on r−4r^{-4}

c)

attractive force that depends on r−2r^{-2}

d)

repulsive force that depends on r−3r^{-3}

2.

Separated dipoles placed on the same line at a distance r interact with

a)

repulsive force that depends on rnr^n

b)

attractive force that depends on r−4r^{-4}

c)

attractive force that depends on r−2r^{-2}

d)

repulsive force that depends on r−3r^{-3}

3.

An electric field E can be the irrotational but not conservative ?

a)

Yes if the domain of existence is not simply connected

b)

just if the field E depends from time

c)

No

d)

Yes but only if the charge distribution that generates is is non homogeneous

e)

it depends on the whatever the field is static or dynamic

4.

In a homogeneous isotropic linear dielectric with relative dielectric constant k, the polarization vector P is related to the vector D by the relation

a)

P = (k - 1) / k * D

b)

P = 1/k*D

c)

P = (k - 1) * D

d)

P = k/(k - 1) * D

5.

In a homogeneous isotropic linear dielectric with relative dielectric constant k, the free charge density is zero when

a)

the polarization vector is solenoidal

b)

the polarization charge density is constant

c)

the polarization vector is uniform

d)

the electric field is uniform

6.

An LC circuit:

a)

is equivalent to a damped harmonic oscillator

b)

is not equivalent to a harmonic oscillator

c)

can’t exist because the resistance of a circuit cannot be zero

d)

is equivalent to a harmonic oscillator

e)

is equivalent to a forced oscillator

7.

A spherical gaussian surface has a charge q inside. What happens to the flux of the electric field Φ(E) across the spherical surface if the radius of the sphere doubles?

a)

unchanged

b)

always zero

c)

halved

d)

doubles

e)

squared

8.

In Ampere-Maxwell's law (4th Maxwell equation) the term corresponding to the displacement current is associated with...

a)

is not associated with the motion of electrical charges

b)

vanishes if the medium is empty space

c)

exists even in vacuum

d)

conduction current only

e)

time variation of the electric field

9.

A monochromatic electromagnetic wave coming from the vacuum penetrates a homogeneous medium characterized by a refractive index n. Select the correct statement:

a)

The wavelength and frequency remain constant, the speed increases

b)

The wavelength and frequency remain constant, the speed decreases

c)

The wavelength decreases, the frequency remains constant

d)

The wavelength decreases, the frequency increases

e)

The wavelength increases, the frequency decreases

10.

The interaction energy between two distant electric dipoles at separation r goes like

a)

r−1r^{-1}

b)

r−2r^{-2}

c)

r2r^{2}

d)

r−3r^{-3}

11.

In an anisotropic dielectric material

a)

the polarization P is parallel to the electric field E but not to the dielectric induction vector D

b)

the polarization P is not parallel neither to the electric field E nor to the dielectric induction vector D

c)

the polarization P is always parallel to both the electric field E and to the dielectric induction vector D

d)

the polarization P is parallel to the dielectric induction vector D but not to the electric field E

12.

Under what conditions is the vector magnetic solenoidal and conservative?

a)

Only in steady state

b)

When rotB=0\mathrm{rot}B=0

c)

When there are no charges

d)

Always

13.

The magnetic field generated at a point P by a moving (non-relativistic) charge

a)

is inversely proportional to the distance between the charge and the point P

b)

does not depend on the direction of motion of the charge

c)

is inversely proportional to the square of the distance between the charge and the point P

d)

does not depend on the distance between the charge and the point P

14.

If the intensity of a plane electromagnetic wave is i1i_1 at the point x1x_1 along the direction of propagation, at the point x2=2x1x_2=2x_1 the intensity i2i_2 will be:

a)

i2=i1/2i_2=i_1/2

b)

i2=2i1i_2=2i_1

c)

i2=i1/4i_2=i_1/4

d)

i2=i1i_2=i_1

15.

When an electromagnetic wave passes from one medium to another, what happens to the frequency and wavelength λ\lambda ?

a)

λ\lambda changes, ν\nu remains the same

b)

λ\lambda remains the same, ν\nu remains the same

c)

λ\lambda remains the same, ν\nu changes

d)

λ\lambda changes, ν\nu changes

16.

Kirchhoff’s second law is another way of expressing

a)

the energy conservation

b)

the fact that the magnetic field is solenoidal

c)

the conservation of momentum

d)

the conservation of charge

17.

What is the power P dissipated in a superconductor wire crossed by a current I?

a)

P=VIP=VI

b)

P=RI2P=R I^{2}

c)

P=RI2P=RI^{2} as in a normal metal

d)

P=0P=0

18.

In an energy part of space there is a uniform electric field E linearly increasing in time. The circuitry of field B along a closed line, contained within this part of space, is:

a)

constant

b)

zero

c)

decreasing linearly over time

d)

growing linearly over time

19.

The magnetic susceptibility of a paramagnetic material

a)

has a dependence of the type T−1T^{-1} on temperature

b)

does not depend on the temperature

c)

grows linearly with temperature

d)

decreases linearly with temperature

20.

In an empty part of space there is a uniform electric field E increasing over time such as t2t^{2} . The circuitry of the magnetic field B along a closed line totally contained within this part of space is

a)

constant

b)

increasing linearly over time

c)

decreasing linearly over time

d)

zero

21.

The resistivity of a metal at a temperature close to room temperature

a)

is an increasing linear function of temperature

b)

Is a linear decreasing function of the temperature

c)

depends on the geometric characteristics of the object on which the measurement is made but it doesn't depend on the temperature,

d)

is independent of the and the geometric characteristics of the object on which it is measured

22.

The electrostatic field is conservative therefore

a)

its circulation along any closed path is zero

b)

has zero gradient

c)

has zero divergence

d)

its flow through any closed surface is zero

23.

Iron at temperatures above the critical behaves

a)

in a way that depends on the particular type of magnetic field that has been applied to the material

b)

like a paramagnet

c)

like a diamagnet

d)

like a ferromagnet

24.

Kirchhoff's First Law is another way of expressing

a)

the conservation of charge

b)

the energy conservation

c)

the conservation of momentum

d)

the fact that the magnetic field is solenoidal

25.

The phenomenon diffraction occurs only in the presence of flat electromagnetic waves.

a)

False

b)

True but it occurs if the waves are also harmonic electromagnetic waves

c)

True but it occurs only if the waves are also harmonic electromagnetic waves and not in the vacuum

d)

True

26.

In an anisotropic dielectric material

a)

the polarization P is parallel to the dielectric induction vector D but not to the electric field E

b)

the polarization P is away: parallel to the electric field E and to the dielectric induction vector D

c)

the polarization P is parallel to the electric field E but not to the dielectric induction vector D

d)

the polarization P is not parallel neither to the electric field E nor to the dielectric induction vector D

27.

Gauss' law states that

a)

the flow of total electric field, generated by all the charges through a closed surface, is equal to the algebraic sum of charges contained there divided by the dielectric constant of vacuum

b)

the flow of the electric field through a closed surface is always zero

c)

the flow of the electric field through any surface is equal to the algebraic sum of the charges contained in it divided by the dielectric constant of vacuum

d)

the flow of the electric field through a surface is equal to the sum of the modules of the charges contained in it divided by the dielectric constant of vacuum

28.

Solving Maxwell's equations of electromagnetism means

a)

to calculate the charge distributions Q and current distribution i, knowing the fields E and B

b)

to satisfy the continuity equation ∇×j+∂ρ/∂t=0\nabla \times \mathbf{j}+\partial \rho / \partial t=0

c)

to calculate the distribution of charge densities ρ\rho and current densities j\mathbf{j} , knowing the fields E and B

d)

to calculate the fields E and B, knowing the distributions ρ\rho of the charge densities, j\mathbf{j} of the current densities and the boundary conditions

29.

In a dielectric material the sum of the surface polarization charges is zero when

a)

the material is homogeneous

b)

Never

c)

the applied electric field has a particular value

d)

always

30.

Two straight parallel wires of indefinite length, placed in the empty space and distant from each other, are crossed by two concordant currents I1I_1 and I2I_2 . Determine the strength B of the magnetic field at the point placed in the middle of the right line joining the two wires.

a)

B=μ0 ∣I1+I2∣/πdB=\mu_0\,|I_1+I_2|/\pi d

b)

B=μ0 ∣I1−I2∣/πdB=\mu_0\,|I_1-I_2|/\pi d

c)

B=μ0 ∣I1+I2∣/2πdB=\mu_0\,|I_1+I_2|/2\pi d

d)

B=μ0 ∣I1−I2∣/2πdB=\mu_0\,|I_1-I_2|/2\pi d

31.

A particle with mass and charge, initially at rest, is immersed in a magnetostatic field B and electrostatic field E, vectorially parallel to each other and uniformly distributed in space. The motion assumed by the charge is:

a)

helical

b)

uniform circular

c)

uniformly accelerated straight line

d)

uniform straight line

32.

The energy dissipated by the Joule effect during the exchange of the capacitor in an RC circuit is equivalent to

a)

RC

b)

R/C

c)

by generator to charge the capacitor

d)

the electrostatic energy of the capacitor

33.

The mutual induction coefficient M between two circuits does NOT depend on

a)

the distance between the two circuits

b)

the intensity of current moving in the two circuits

c)

by the medium which is interposed between the two circuits

d)

by the shape of the two circuits

34.

Gauss's law for the magnetic necessarily provides

a)

The flow of B is always zero if are no currents

b)

The flow of B across a surface is always zero

c)

The flux of B is always zero if the magnetization of the maternal is negligible

d)

There are no magnetic monopoles

35.

The Hall effect can be used

a)

to measure a magnetic field.

b)

to determine the Intensity of an electromagnetic wave.

c)

to determine the dielectric strength of an insulator.

d)

to determine the mobility of the Ions in a generic metal.

36.

Gauss's law for the electric field E necessarily provides

a)

the charges are point-like

b)

the surface on which to calculate the now of E is spherical

c)

the surface on which to calculate the flow of E is closed

d)

field E does not depend on time

37.

The electrostatic field is conservative therefore

a)

its circulation along some closed path is zero.

b)

has zero curl.

c)

has zero gradient.

d)

its flow through any closed surface is zero.

38.

Which of the following properties of the induction vector D is correct?

a)

D = E - P

b)

D = εrE for each type of dielectric material

c)

∬D × n dΣ = Q where Q is the free charge inside the unit vector n

d)

∬D × n dΣ = 0 where Σ is a closed surface with normal unit vector n

39.

In a paramagnet magnetic susceptibility (восприимчивость, чувствительность)

a)

depends on the applied magnetic field

b)

does not vary with temperature

c)

grows with temperature

d)

decreases with temperature

40.

The energy associated in a given volume with the presence of an electric field is larger when

a)

it doesn't depend on what's in the volume

b)

the volume is filled with a dielectric material

c)

the volume is filled with a non-homogeneous(не-однородный) dielectric material

d)

the volume is empty

41.

A dielectric material, homogeneous and isotropic, is immersed in a uniform external electrostatic field. The sum of the polarization charges on the surface of this material is

a)

always different from zero.

b)

non-zero only if the object has a regular shape.

c)

zero only if the object has a regular shape.

d)

always zero.

42.

The intensity of a cylindrical wave at a distance r from the source

a)

decreases as 1/r1/\sqrt{r}

b)

decreases as 1/r21/r^2

c)

doesn't change

d)

decreases as 1/r1/r

43.

An electric field generated by a distribution of charges is electrostatic if and only if:

a)

the distribution of charges is spherical or point-like

b)

the test charge is at rest

c)

the test charge is uniform rectilinear motion

d)

the distribution of charges is at rest.

44.

Which of the following parameters that characterize a harmonic wave does not change when it passes between two materials with different refractive index?

a)

speed

b)

wavelength

c)

wave number

d)

frequency

45.

At electrostatic equilibrium, the E field near the surface of a charged conductor with a uniform negative surface charge density σ\sigma is

a)

Uniform, parallel to the surface, of the direction entering the conductor

b)

Uniform, perpendicular to the surface, of the direction entering the conductor

c)

Uniform, perpendicular to the surface, facing out from the conductor

d)

Anywhere null

46.

If r is the distance from the source, the intensity of a spherical wave

a)

varies as 1/r21/r^2

b)

Increases proportionally to r

c)

does not depend on r

d)

Decreases proportionally to 1/r1/r

47.

If M=Xm(T)H\mathbf{M}=X_m(T)\mathbf{H} this material is

a)

Diamagnetic and paramagnetic

b)

Paramagnetic

c)

Ferromagnetic because Xm(T)X_m(T) doesn’t depend from HH

d)

Diamagnetic

48.

We want to make a circuit RL using an inductance L and two resistors R1R_1 and R2R_2 . The resistors can be connected together in series or in parallel. Which of the following statements is right?

a)

the rapidity or the transients RL does not depend on the connection

b)

the transients of the RL circuit are faster if R2>R1R_2 > R_1

c)

the transients of the RL circuit are faster if two transistors are connected in parallel

d)

the transients of the RL circuit are faster if two transistors are connected in series

49.

The gap between the plates of a capacitor, initially empty, is completely filled with a dielectric material. With the same charge on the plates:

a)

The capacitance decreases, the electrostatic field increases.

b)

The capacitance increases, the electrostatic field decreases.

c)

The capacitance and the electrostatic field increase.

d)

The capacitance and the electrostatic field decrease.

50.

Iron at temperatures below the critical temperature behaves

a)

like a ferromagnet

b)

like a paramagnet

c)

in a way that depends on the particular type of magnetic file that has been applied to the material

d)

like a diamagnet

51.

Iron at temperature below the critical temperature behaves

a)

like paramagnetic

b)

in a way that depends on the particular type of magnetic field that has been applied to the material

c)

like a superconductor (at ambient pressure)

d)

like a ferromagnet

e)

like a diamagnet

52.

In an isotropic material B=μH\mathbf{B} = \mu \mathbf{H} . This means that H\mathbf{H} is always solenoidal.

a)

Yes, but just in a diamagnetic material.

b)

Yes

c)

Yes, but just in the paramagnetic and ferromagnetic materials.

d)

No

53.

Under what conditions is the vector magnetic field B\mathbf{B} solenoidal?

a)

In the vacuum.

b)

Always.

c)

When there are no charges.

d)

Only in steady state.

54.

The electrical potential inside a metallic material is?

a)

null only if the metallic object has a spherical shape.

b)

constant

c)

dependent on the shape of the metallic object

d)

null.

55.

A resistance of 8 Ω8\,\Omega must be made but only 3 valuable resistors are possessed: R1=5 ΩR_1=5\,\Omega , R2=4 ΩR_2=4\,\Omega and R3=12 ΩR_3=12\,\Omega . How can the necessary resistance achieved?

a)

by connecting the three resistors in parallel.

b)

by connecting the three resistors in series.

c)

by connecting R2R_2 and R3R_3 in parallel and R1R_1 in series with the Previous parallel.

d)

by connecting R1R_1 and R2R_2 in series and R3R_3 in parallel to the series

56.

The polarization vector P\mathbf{P} generated in an isotropic and homogeneous with relative dielectric constant εr\varepsilon_r immersed in an external electrostatic field E0\mathbf{E}_0 :

a)

It is equal to ε0(εr−1)E0\varepsilon_0(\varepsilon_r -1)\mathbf{E}_0

b)

It is equal to (εr−1)E0(\varepsilon_r - 1)\mathbf{E}_0

c)

It is equal to ε0(εr−1)E0/εr\varepsilon_0(\varepsilon_r - 1)\mathbf{E}_0/\varepsilon_r

d)

It is equal to (εr−1)E0/εr(\varepsilon_r -1)\mathbf{E}_0/\varepsilon_r

57.

Inside a homogeneous dielectric material without free charges

a)

there may be volume polarization charges but only for particular materials.

b)

there can be no volume polarization charges.

c)

there can be no surface polarization charges.

d)

there may be volume polarization charges.

58.

The electrical conductivity σ\sigma in the Drude model

a)

depends from the electric field.

b)

depends from the square of the density of carriers(носители(заряды)).

c)

doesn't depend from the sign of carriers

.

d)

doesn't depend from the mean time interval between two successive collision.

59.

Cune’s law for a ferromagnet states that magnetic susceptibility is

a)

Xm=Cp(T−Tc)X_m = C_p (T - T_c)

b)

Xm=CpT−TcX_m = \dfrac{C_p}{T - T_c} for T>TcT > T_c

c)

Xm=CpT−TcX_m = \dfrac{C_p}{T - T_c} for T<TcT < T_c

d)

Xm=CpTX_m = \dfrac{C_p}{T}

60.

For an electric charge to move with constant speed in a region in which there is an electric field

a)

the motion must take place on an equipotential surface

b)

the motion must take place along a line of force of the field

c)

the electric field must be conservative

d)

the electric field must be uniform

61.

For an electric charge to move with constant speed in a region in which there is an electric field

a)

Never

b)

The electric field is uniform

c)

the electric is on an equipotential surface

d)

the electric field is conservative

e)

the motion occurs along a line of force of the field

62.

The density of electric current j at each point within a conductor

a)

It is parallel to electric field E in the conductor only if the carriers are positive

b)

It is always zero

c)

It is always parallel to electric field E.

d)

It is parallel to the electric field E in the conductor only if the carriers are negative

63.

An electromagnetic wave carries quantities of motion. Consequently when affects a surface it applies a force to it. Which of the following statements is true?

a)

the force applied is maximum if the surface is totally absorbent

b)

the applied force is the same whether the surface is totally reflective or that it is totally absorbent

c)

the force applied is maximum if the surface is totally reflective

d)

the applied force is minimal if the surface is totally reflective

64.

The magnetic susceptibility of a diamagnetic material

a)

has a dependence of the type T−1T^{-1} on temperature.

b)

does not depend on the temperature

c)

grows linearly with temperature

d)

decreases linearly with temperature.

65.

In order to observe the phenomenon of interference between the waves emitted between two coherent sources, it is necessary that

a)

the difference or path that the two waves must travel to reach a on the screen must be much less than their length.

b)

the two waves propagate in different media.

c)

the two waves propagate in the same medium.

d)

the difference of path that the waves must travel to reach a on the screen must be much greater than their length.

66.

In the classic model of electrical conduction (Drude model):

a)

the intensity of electric current j is independent of the applied electric field E

b)

the drift speed of the carriers is independent of the applied electric field E

c)

the electric current density j is independent of the applied electric field E

d)

the electrical conductivity is independent of the applied electric field E

67.

In a Young experiment, the maximum of order one is subtended at an angle θ=30∘\theta = 30^\circ . It can be deduced that:

a)

the distance the sources is half the wavelength

b)

the distance between the sources is double the wavelength

c)

the distance the sources and the screen is double the wavelength

d)

the distance between the sources and the screen is half the wavelength

68.

The second law of Laplace provides that the force applied on a closed circuit crossed by a stationary current II on which a uniform magnetic field BB acts is:

a)

non-zero if field BB is parallel to the circuit

b)

different from zero if field BB is orthogonal to the circuit

c)

only on the area enclosed by the circuit

d)

always zero

69.

The law of reflection of geometric optics

a)

depends on on the characteristics of the material in which the light beam propagates

b)

does not depend on on the characteristics of the material in which the light beam propagates

c)

depends on the frequency of the light beam.

d)

depends on the width of the light beam

70.

An indefinite cylinder is traversed by a current parallel to the axis of the cylinder itself with uniform and stationary current density j. The field B inside the cylinder:

a)

grows linearly as the distance r from center increases

b)

Is not known. The data of problem are not sufficient to answer

c)

is always null

d)

it does not vary with the distance r from the cylinder axis

71.

Given a sphere with a uniform charge density ρ\rho , EE is the field inside the sphere?

a)

E is always constant

b)

E is equivalent to that generated by a point charge placed in the center

c)

E grows linearly as the distance r from the center increases

d)

E is always null

72.

A spherical shaped body is made of insulating material and with uniform charge density. The body has a spherical cavity inside, not concentric with respect to it. By indicating with ΦΣ(E)\Phi_{\Sigma}(E) the flow of the electrostatic field through a closed surface Σ\Sigma completely contained in the cavity, and with E(C)E(C) the field electrostatic at the center CC of the cavity, which of the following statements is true?

a)

ΦΣ(E)=0, E(C)=0\Phi_{\Sigma}(E)=0,\ E(C)=0

b)

ΦΣ(E)≠0, E(C)≠0\Phi_{\Sigma}(E)\neq 0,\ E(C)\neq 0

c)

ΦΣ(E)=0, E(C)≠0\Phi_{\Sigma}(E)=0,\ E(C)\neq 0

d)

ΦΣ(E)≠0, E(C)=0\Phi_{\Sigma}(E)\neq 0,\ E(C)=0

73.

In a ferromagnet the shape of hysteresis cycle depends

a)

from the particular ferromagnetic material and from the applied field HH

b)

just from the particular ferromagnetic material

c)

it is equal for all ferromagnetic materials

d)

from the applied field HH

74.

In Ampere-Maxwell's law (forth Maxwell equation) the term corresponding to the displacement current:

a)

is associated with the temporal variation of the magnetic field

b)

is not associated with the motion of electric charges

c)

vanishes if the medium is the empty space

d)

is associated with the motion of conduction electrons

75.

The self-induction coefficient LL of a current carrying circuit II depends on

a)

Geometry of the circuit and the medium in which it is immersed

b)

Circuit geometry and applied magnetic field

c)

Magnetic field generated and induced electromotive force

d)

Geometry of the circuit and induced electromotive force

76.

Can the integral of the magnetic field BB along a closed line LL be zero if there exists a current II concatenated with LL ?

a)

Yes, if the current II is connected to LL twice in the same direction

b)

It's impossible

c)

Yes, if the current II is connected to LL twice in the opposite direction

d)

Yes, if the space around LL is filled with a ferromagnetic material

77.

Can the integral of magnetic field BB along a closed line LL be zero if there exists a current?

a)

Yes, if the field BB is static

b)

It's impossible

c)

Yes, if the current II is connected to LL twice in the same direction

d)

Yes, if the space around LL is filled with a diamagnetic material

e)

Yes, if the current II is connected to LL twice in the opposite direction

78.

The density of electric current j at each point within a conductor

a)

It is parallel to the electric field E in the conductor only if the carmers are positive

b)

It is always parallel to the electric field E.

c)

It is parallel to the electric field E in the conductor only if the carriers are negative

d)

It is always zero

79.

The function Ψ(x,t)=Aexp⁡[−(kx−ωt)]\Psi(x,t) = A\exp[-(kx-\omega t)] can be the solution of the wave equation?

a)

it depends from the value of the amplitude AA

b)

it depends from the value of the wave number kk

c)

Yes

d)

No

80.

An indefinite cylinder is traversed by a current parallel to the axis of the cylinder itself with uniform and stationary current density j. The field B inside the cylinder

a)

is always null

b)

grows linearly as the distance r from the center increases

c)

it does not vary with the distance from the cylinder axis

d)

is not known. The data of problem are not sufficient to answer.

81.

The plates of a flat, charged and isolated capacitor recede over time. Neglect edge effects. The displacement current density inside the capacitor is

a)

is null

b)

increases over time

c)

is constant over time but not necessarily null

d)

decreases over time

82.

The resistivity of a conductor depends on

a)

the intensity of current flowing in the conductor

b)

the geometric dimensions of the conductor

c)

the electric field that is present inside the conductor

d)

the temperature at which the conductor is located

83.

Dielectric strength indicates

a)

the maximum value of the density of charge polarization that can be present inside a dielectric (beyond which a discharge occurs inside the dielectric)

b)

the maximum value of the electric field that may be present inside a dielectric (beyond which a discharge occurs inside the dielectric)

c)

the maximum value of the potential difference that can be applied to the ends of a dielectric (beyond which a discharge occurs inside the dielectric)

d)

the maximum value of the polarization that can be present inside a dielectric (beyond which a discharge occurs inside the dielectric)

84.

The electrostatic potential at a given point in space has a null value. The electric field at the same point is

a)

null

b)

infinite

c)

indeterminable

d)

maximum

85.

Consider the flux of the electric field generated by a point charge through two closed equipotential surfaces A and B, with B the larger surface. The fluxes satisfy

a)

ΦA > ΦB

b)

ΦA = ΦB

c)

ΦA < ΦB

d)

ΦA ≠ ΦB

86.

How does the energy density of the electric field vary between the plates of a flat capacitor?

a)

It depends on the square of the distance between the slabs.

b)

It linearly depends on the distance of the slabs.

c)

It linearly depends on the area of the slabs.

d)

It depends on the square of surface charge density.

87.

If Inside a region of space, the electrostatic field is uniform (that is, it does not depend on position). I can without doubt affirm that

a)

The free charge density ρ linearly depends on the spatial coordinate.

b)

The free charge density ρ is constant.

c)

There are no free electrical charges in the region.

d)

The algebraic sum of the free charges is zero.

88.

A point charge is free to move in the presence of a charge of the same sign kept stationary. The moving charge

a)

moves with constant acceleration

b)

moves with constant speed along a straight line

c)

moves with variable acceleration with distance

d)

does not move

89.

In Gauss’s law ∬E⋅n dS=∑iqi/ε0\iint \mathbf{E}\cdot \mathbf{n}\, dS = \sum_i q_i/\varepsilon_0 , the field E\mathbf{E} is the field due exclusively to the charges qi inside the closed surface S.

a)

False. It is the electric field existing in the region of space whatever its origin.

b)

True.

c)

False. It is the electric field existing in the region of space whatever its origin, as long as electromagnetic induction phenomena are not present.

d)

True, but only if the charges qiq_i are point-like.

90.

Two indefinite parallel planes, distant d, possess a uniformly distributed electric charge, equal in magnitude and sign. Which of the following statements is true?

a)

The electrostatic field is maximum in the space between the two planes.

b)

The electrostatic field is zero in the space between the two planes.

c)

The electrostatic field between the two planes has an intensity proportional to d.

d)

The electrostatic field is non-zero and uniform in the space between the two planes.

91.

A flat capacitor is charged through a potential difference supplied by a generator that remains connected to the capacitor. A metal plate of finite thickness is inserted between the slabs. Which statement is true?

a)

The capacitance of the capacitor remains constant.

b)

The charge on the capacitor plates remains constant.

c)

The capacitance of the capacitor decreases.

d)

The capacitance of the capacitor increases.

92.

A dielectric is inserted inside a plain capacitor while the same charge remains distributed on the plates. Which statement is true?

a)

The capacitance of the capacitor remains constant.

b)

The electrostatic field inside the dielectric is zero.

c)

The electrostatic field inside the capacitor remains constant.

d)

The dielectric induction field D inside the capacitor remains constant.

93.

What total force acts on an electric dipole p placed in an external uniform electric field E?

a)

nothing

b)

Depends on the orientation of p with respect to E

c)

p · E

d)

p × E

94.

A conductor in electrostatic equilibrium can contain charges in its interior

a)

No, because inside the field must be null.

b)

Yes, it depends on its shape.

c)

It depends on the conductor.

d)

It depends on whether the conductor has cavities.

95.

A conductor in an electrostatic equilibrium can contain charges within it

a)

No, because inside the electrostatic field must be null.

b)

Depends on whether the conductor has cavities.

c)

Yes, it depends on the thickness of its surface.

d)

Yes, it depends on its shape.

e)

It depends on the conductor.

96.

An empty parallel-plate capacitor with plate area Σ and separation d is connected to a generator of voltage V0V_0 . A dielectric slab of relative dielectric constant k and thickness d is then inserted to completely fill the capacitor. What is the electrical polarization in the slab after insertion?

a)

ε0(k−1) V0d\varepsilon_0 (k-1)\, \dfrac{V_0}{d}

b)

ε0(k−1) V0kd\varepsilon_0 (k-1)\, \dfrac{V_0}{k d}

c)

k ε0 V0dk\,\varepsilon_0\, \dfrac{V_0}{d}

d)

(k+1) V0d(k+1)\, \dfrac{V_0}{d}

97.

An empty parallel-plate capacitor with plate area Σ and separation d is connected to a generator of voltage V0V_0 . Initially the electrostatic energy is U0=C0V02/2U_0 = C_0 V_0^2/2 , where C0=ε0Σ/dC_0 = \varepsilon_0 \Sigma/d . A dielectric plate of relative dielectric constant k and thickness d is inserted to completely fill the capacitor. What is the final electrostatic energy in the capacitor?

a)

kU0k U_0

b)

U0U_0

c)

U0k\dfrac{U_0}{k}

d)

(1+k)U0(1+k) U_0

98.

In a dielectric slab of thickness d with surfaces at x = 0 and x = d (parallel to the y–z plane), the polarization vector is P=αx ux+β uy\mathbf{P} = \alpha x\, \mathbf{u}_x + \beta\, \mathbf{u}_y , where α and β are constants. What are the polarization surface charge densities at x = 0 and x = d?

a)

0 and αd\alpha d

b)

α\alpha and β\beta

c)

αd\alpha d and −αd-\alpha d

d)

α/2\alpha/2

99.

In the presence of a diamagnetic material in a long and narrow solenoid, with equal conduction current

a)

the field B does not charge

b)

the field B decreases

c)

if B increases or decreases depends on the type of diamagnetic material

d)

the field B increases

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