Free Printable 2. Electrostatic potential and capacitance

1.

The expression for Electric potential due to a point charge at a distance 'r' from it is____________

a)

$\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q^{2\ }}{r}$

b)

$\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q}{r}$

c)

$\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q^{2\ }}{r^2}$

d)

$\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q\ }{r^2}$

2.

Electric potential at a point due to a dipole is

a)

$\frac{1}{4πε_o}\ \frac{p⃗.r⃗}{r^3}$

b)

$\frac{1}{4πε_o}\ \frac{p⃗.r⃗}{r^2}$

c)

$\frac{1}{4πε_o}\ \frac{p⃗.r⃗}{r}$

d)

$\frac{1}{4πε_o}\ p⃗.r⃗$

3.

The relation between electric field and electric potential is

a)

$E=dV.dr$

b)

$V=dE.dr$

c)

$V=-\frac{dE}{dr}$

d)

$E=-\frac{dV}{dr}$

4.

A region of space contains a uniform electric field, directed toward the right, as shown in the figure. Which statement about this situation is correct?

a)

The potential at point A is the highest, the potential at point B is the second highest, and the potential at point C is the lowest.

b)

The potential at points A and B are equal, and the potential at point C is lower than the potential at point A.

c)

The potential at all three locations is the same.

d)

The potentials at points A and B are equal, and the potential at point C is higher than the potential at point A.

5.

The magnitude of electric potential is ______ at an infinite distance.

a)

0

b)

negative infinity

c)

positive infinity

d)

200

6.

What is the electrostatic potential at equatorial point of a dipole?

a)

twice of the axial point

b)

half of the axial point

c)

zero

d)

not defined

7.

Two charges +q and -3q are placed at a distance of 1m apart. The points on the line joining two charges, where electric potential is zero, is :

a)

0.25 m, 0.5 m

b)

1 cm , 0.50 m

c)

0.35 cm , 24 cm

d)

none of these

8.

A positive charge $Q$ is placed very close to the positive plate of a parallel plate capacitor that produces an electric field $E$ . Once released, the positive charge reaches the negative plate a distance $d$ away with a kinetic energy of

a)

$Ed$

b)

$QEd$

c)

$2Ed$

d)

$2QEd$

9.

The electric potential in a region of space is given by the function V=3x²+ 2y³. what is the x-component of the electric field in this area?

a)

6x

b)

-6x

c)

x³

d)

-x³

10.

These form a surface where the electric potential is constant everywhere on the surface.

a)

Gaussian surface

b)

Flux surface

c)

Equipotential lines

d)

Equatorial lines

11.

Electric potential due to a point charge –q at distance x from it is given by:

a)

Kq/x2

b)

Kq/x

c)

-Kq/x2

d)

-Kq/x

12.

Electric field and electric potential inside a charged spherical shell :

a)

E = 0; V = 0

b)

E = 0 ; V ≠ 0

c)

E ≠ 0 ; V = 0

d)

E ≠ 0 ; V ≠ 0

13.

The electric field inside a spherical shell of uniform surface charge density is-

a)

zero.

b)

constant, less than zero.

c)

directly proportional to the distance from the centre.

d)

none of the these

14.

If two negative charges are held close together and then released, the charges will

a)

accelerate toward each other.

b)

accelerate away from each other.

c)

not move.

d)

move at a constant speed away from each other

15.

Electric potential energy of an electric dipole in a uniform electric field is given by

a)

U=\overrightarrow{p\ }\times\overrightarrow{E}

b)

$U=\overrightarrow{E}\times\overrightarrow{p}$

c)

$U=-\overrightarrow{p\ }.\overrightarrow{E}$

d)

$U=-\frac{\left(\overrightarrow{p\ }.\overrightarrow{\ E\ }\right)}{\epsilon_o}$

16.

As a proton moves in the direction the electric field lines...

a)

it is moving from low potential to high potential and gaining electric potential energy.

b)

it is moving from low potential to high potential and losing electric potential energy.

c)

it is moving from high potential to low potential and gaining electric potential energy.

d)

it is moving from high potential to low potential and losing electric potential energy.

17.

Which of the following statement is true?

a)

Electrostatic force is a conservative force.

b)

Potential at a point is the work done per unit charge in bringing a charge from any point to infinity

c)

Electrostatic force is non-conservative

d)

Potential is the product of charge and work.

18.

A parallel-plate capacitor has a capacitance of 20 µF. What potential difference across the plates is required to store 7.2 x 10^-4 C on this capacitor?

a)

36 V

b)

2.2 x 10^-2 V

c)

1.4 x 10^-8 V

d)

68 V

19.

Increasing the separation of the two charged parallel plates of a capacitor, which are disconnected from a battery, will produce what effect on the capacitor?

a)

increase charge

b)

decrease charge

c)

increase capacitance

d)

decrease capacitance

20.

Three capacitors of 1.0 µF, 1.5 µF, and 2.0 µF are connected in series. Find the combined capacitance.

a)

4.5 µF

b)

4.0 µF

c)

2.2 µF

d)

0.46 µF

21.

If three 4.0 µF capacitors are connected in parallel, what is the combined capacitance?

a)

12 µF

b)

0.75 µF

c)

8.0 µF

d)

0.46 µF

22.

Two capacitors with C_A greater than C_B and are connected in series with a battery. Which of the following is true?

a)

There is more charge stored on C_A.

b)

There is more charge stored on C_B.

c)

There is the same charge stored on each capacitor.

d)

There is the same potential difference across both capacitors.

23.

What is the equivalent capacitance between points a and b? All capacitors are 1.0 µF.

a)

4.0 µF

b)

17 µF

c)

0.6 µF

d)

0.25 µF

24.

Inserting a dielectric material between two charged parallel conducting plates, originally separated by air and disconnected from a battery, will produce what effect on the capacitor?

a)

increase charge

b)

increase voltage

c)

increase capacitance

d)

decrease capacitance

25.

Potential energy of an electric dipole held at an angle $\theta$ in a uniform electric field is zero ,,when $\theta$ is

a)

$0^{\degree}$

b)

$90^{\degree}$

c)

$180^{\degree}$

d)

$360^{\degree}$

2. Electrostatic potential and capacitance

Total questions: 25

Worksheet time: 30mins

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