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Electromagentic , Mid-term 2 , questions

Total questions: 76

Worksheet time: 25mins

Name
Class
Date
1.

In an RC circuit during charging, the voltage across the capacitor is given by:

a)

V(t) = V0(e^(t/RC))

b)

V(t) = V0(1 - e^(-t/RC))

c)

V(t) = V0(1 + e^(-t/RC))

d)

V(t) = V0(e^(-t/RC))

2.

The time constant (τ) of an RC circuit is:

a)

τ = R × C

b)

τ = C / R

c)

τ = R / C

d)

τ = R + C

3.

In an RL circuit, the current during transient buildup is given by:

a)

I(t) = (V/R)(1 + e^(-Rt/L))

b)

I(t) = (V/R)(e^(Rt/L))

c)

I(t) = (V/R)(1 - e^(-Rt/L))

d)

I(t) = (V/R)(e^(-Rt/L))

4.

The time constant (τ) of an RL circuit is:

a)

τ = LR

b)

τ = R/L

c)

τ = L/R

d)

τ = L + R

5.

The purpose of an inductor in a circuit is to:

a)

Oppose changes in current

b)

Oppose changes in voltage

c)

Store energy in an electric field

d)

Dissipate energy as heat

6.

In an RC circuit, the voltage across the resistor during discharging is:

a)

V_R(t) = V_0 * e^(-t/RC)

b)

V_R(t) = V_0 * sin(t/RC)

c)

V_R(t) = V_0 * e^(t/RC)

d)

V_R(t) = V_0 * (1 - e^(-t/RC))

7.

The energy stored in a capacitor is in the form of:

a)

Electrostatic potential energy

b)

Kinetic energy

c)

Thermal energy

d)

Magnetic energy

8.

The voltage across an inductor leads the current by:

a)

45 degrees

b)

90 degrees

c)

180 degrees

d)

0 degrees

9.

The reactance of an inductor (XL​) is given by:

a)

XL = ωL

b)

XL = L/ω

c)

XL = 1/ω

d)

XL = R

10.

The reactance of a capacitor (XC​) is given by:

a)

XC = 2πfC^2

b)

XC = 1 / (2πfC)

c)

XC = C / (2πf)

d)

XC = 2πfC

11.

In an RL circuit, the voltage across the inductor during transient buildup is:

a)

The voltage across the inductor is constant throughout the transient.

b)

The voltage across the inductor is zero at all times.

c)

The voltage across the inductor increases indefinitely during the transient.

d)

The voltage across the inductor is initially high and decreases as the current stabilizes.

12.

The current in an RC circuit during charging is given by:

a)

I(t) = V * e^(t/(RC))

b)

I(t) = (V/R) * e^(t/(RC))

c)

I(t) = (V/R) * e^(-t/(RC))

d)

I(t) = (V/R) * (1 - e^(-t/(RC)))

13.

The voltage across a capacitor cannot change instantaneously because:

a)

It stores energy in a magnetic field

b)

It stores energy in an electric field

c)

It opposes changes in current

d)

It dissipates energy as heat

14.

The current through an inductor cannot change instantaneously because:

a)

It stores energy in a magnetic field

b)

It stores energy in an electric field

c)

It opposes changes in voltage

d)

It dissipates energy as heat

15.

The unit of inductance is:

a)

volt

b)

ohm

c)

henry

d)

farad

16.

The time constant represents the time required for the voltage or current to reach approximately:

a)

63.2% of its final value

b)

100% of its final value

c)

50% of its final value

d)

75% of its final value

17.

In an RL circuit, the voltage across the resistor during transient buildup is given by:

a)

V_R(t) = I(t) * R = (V_s/R)(1 - e^(-t/(L/R))) * R = V_s(1 - e^(-t/(L/R)))

b)

V_R(t) = V_s * e^(-t/(L/R))

c)

V_R(t) = I(t) / R = (V_s * R)(1 + e^(-t/(L/R)))

d)

V_R(t) = V_s * e^(t/(L/R))

18.

The total impedance of a series RL circuit is:

a)

Z = R² + L²

b)

Z=R−iXC

c)

Z=R+iXL​

d)


Z=R−iXL

19.

Explain the transient behavior of voltage and current in an RC circuit during charging and discharging. Derive the expressions for vC(t) and iC(t) during these processes.

(a)  

20.

The unit of angular frequency (ω) is:

a)

radians/second

b)

revolutions/second

c)

radians/minute

d)

degrees/second

21.

The relationship between frequency (f) and angular frequency (ω) is:

a)

ω = πf

b)

ω = 2πf

c)

f = 2πω

d)

ω = f/2π

22.

The general form of a sinusoidal voltage is:

a)

V(t) = V_m * sin(ωt + φ)

b)

V(t) = V_m * tan(ωt)

c)

V(t) = V_m * sin(φ)

d)

V(t) = V_m * cos(ωt + φ)

23.

The phase angle θ in v(t)= V_m sin⁡(ωt+θ)represents:

a)

The amplitude of the waveform.

b)

The initial phase shift of the waveform.

c)

The maximum voltage of the waveform.

d)

The frequency of the waveform.

24.

The phasor representation of v(t)=Vm sin⁡(ωt+30°) is:

a)

Vm∠30°

b)

Vm sin(ωt)

c)

Vm∠60°

d)

Vm∠0°

25.

The impedance of a resistor in an AC circuit is represented by:

a)

Z = 1/R

b)

Z = R + jX

c)

Z = R^2

d)

Z = R

26.

The impedance of a capacitor in an AC circuit is given by:

a)

Z = R∠0°

b)

Z = XC​∠−90°

c)

Z = −iXC​

d)

Z = jωC

27.

In a purely resistive AC circuit, the phase angle between voltage and current is:

a)

90 degrees

b)

270 degrees

c)

180 degrees

d)

0 degrees

28.

In a purely inductive AC circuit, the phase angle between voltage and current is:

a)

90 degrees

b)

45 degrees

c)

0 degrees

d)

180 degrees

29.

In a purely capacitive AC circuit, the phase angle between voltage and current is:

a)

0 degrees

b)

90 degrees

c)

45 degrees

d)

180 degrees

30.

The total impedance of a series RLC circuit is:

a)

Z = R + X_L + X_C

b)

Z = √(R² + (X_L - X_C)²)

c)

Z = R² + X_L² + X_C²

d)

Z = R / (X_L + X_C)

31.

The condition for resonance in a series RLC circuit is:

a)

XL > XC

b)

XL < XC

c)

R = L + C

d)

XL = XC

32.

At resonance, the impedance of a series RLC circuit is:

a)

R

b)

R + jX

c)

0

d)

2R

33.

The resonant frequency (fr) of a series RLC circuit is given by:

a)

fr = LC / (2π)

b)

fr = 1 / (2πL)

c)

fr = 1 / (2π√(LC))

d)

fr = √(L/C)

34.

The power factor of an AC circuit is defined as:

a)

The power factor is defined as the square of the current.

b)

The power factor is defined as cos(φ), where φ is the phase angle between voltage and current.

c)

The power factor is the product of voltage and current.

d)

The power factor is defined as the ratio of voltage to current.

35.

The unit of apparent power is:

a)

joules (J)

b)

watts (W)

c)

volt-amperes (VA)

d)

ohms (Ω)

36.

The unit of real power is:

a)

Volts (V)

b)

Amperes (A)

c)

Ohms (Ω)

d)

Watts (W)

37.

The power triangle relates:

a)

Real power, reactive power, and apparent power.

b)

Load, source, and circuit.

c)

Energy, power factor, and frequency.

d)

Voltage, current, and resistance.

38.

At resonance, the current in a series RLC circuit is:

a)

Zero current

b)

Constant current

c)

Decreasing current

d)

Maximum current

39.

The bandwidth of a resonant circuit is defined as:

a)

The range of frequencies around the resonant frequency where the circuit can operate effectively.

b)

The total resistance in the circuit at resonance.

c)

The minimum voltage required for the circuit to function.

d)

The maximum frequency the circuit can handle without distortion.

40.

The quality factor (Q) of a resonant circuit is given by:

a)

Q = f_r * Δf

b)

Q = f_r / Δf

c)

Q = Δf / f_r

d)

Q = f_r + Δf

41.

In a parallel RLC circuit at resonance, the impedance is:

a)

Maximum

b)

0

c)

Unpredictable

d)

Minimum

42.

The power factor of a purely resistive circuit is:

a)

0.5

b)

2

c)

1.5

d)

1

43.

The power factor of a purely inductive circuit is:

a)

-1

b)

0

c)

1

d)

0.5

44.

The power factor of a purely capacitive circuit is:

a)

0

b)

0.5

c)

-1

d)

1

45.

The apparent power (S) in an AC circuit is given by:

a)

S = V + I

b)

S = V / I

c)

S = V - I

d)

S = V * I

46.

The real power (P) in an AC circuit is given by:

a)

P = VIcos(φ)

b)

P = V^2/R

c)

P = VIsin(φ)

d)

P = VI

47.

The reactive power (Q) in an AC circuit is given by:

a)

Q = V * I * cos(φ)

b)

Q = V / I * tan(φ)

c)

Q = V + I * φ

d)

Q = V * I * sin(φ)

48.

The power factor angle (θ) is the angle between:

a)

The voltage and the power in a DC circuit.

b)

The voltage and the current in an AC circuit.

c)

The frequency and the amplitude of a signal.

d)

The resistance and the capacitance in a circuit.

49.

A lagging power factor implies that the current:

a)

lags behind the voltage

b)

is independent of the voltage

c)

leads the voltage

d)

is in phase with the voltage

50.

A leading power factor implies that the current:

a)

is lagging the voltage.

b)

is in phase with the voltage.

c)

is independent of the voltage.

d)

is leading the voltage.

51.

The unit of admittance is:

a)
ohms (Ω)
b)
watts (W)
c)
volts (V)
d)
siemens (S)
52.

The admittance (Y) of a circuit is:

a)
Y = V/I
b)
Y = R + jC
c)
Y = 1/Z or Y = G + jB
d)
Y = Z/G
53.

The conductance (G) of a circuit is:

a)
G = R
b)
G = V/I
c)
G = 1/R
d)
G = P/V
54.

The susceptance (B) of a circuit is:

a)
The measure of how easily a circuit allows the flow of electric current in terms of reactive power.
b)
The speed at which electric current travels through a circuit.
c)
The total resistance of a circuit to direct current.
d)
The measure of how much voltage a circuit can handle.
55.

The admittance of a resistor is:

a)

Y=G∠0°

b)

Y=B∠−90°

c)

Y=G+iB

d)

Y=G−iB

56.

The admittance of an inductor is:

a)

Y=G∠0

b)

Y=B∠−90°

c)

Y=G+ji

d)

Y=G−iB

57.

The admittance of a capacitor is:

a)

Y=G∠0°

b)


Y=B∠90°

c)

Y=G+iB

d)

Y=G−iB

58.

The unit of magnetic flux (Φ) is:

a)
Tesla (T)
b)
Weber (Wb)
c)
Henry (H)
d)
Volt (V)
59.

The unit of magnetic flux density (B) is:

a)
ampere
b)
tesla
c)
weber
d)
volt
60.

The relationship between magnetic flux (Φ) and flux density (B) is:

a)
Φ = B × A
b)
Φ = B / A
c)
Φ = B + A
d)
Φ = A / B
61.

The magnetomotive force (mmf) is given by

a)
mmf = I / N
b)
mmf = N * I
c)
mmf = N + I
d)
mmf = N - I
62.

The reluctance (R) of a magnetic circuit is given by:

a)
R = MMF / Φ
b)
R = MMF + Φ
c)
R = Φ × MMF
d)
R = Φ / MMF
63.

Ohm's law for magnetic circuits is:

a)
Φ = R × V
b)
MMF = R × I
c)
MMF = Φ × R
d)
R = MMF / Φ
64.

The permeability of free space (μ0​) is:

a)
2π x 10^-7 T·m/A
b)
4π x 10^-7 T·m/A
c)
8π x 10^-7 T·m/A
d)
4π x 10^-6 T·m/A
65.

The relative permeability (μr​) of a material is:

a)


μr=μ/μ0

b)

μr​=μ0​/μ

c)

μr​=μ+μ0

d)

μr​=μ−μ0​

66.

Ferromagnetic materials have:

a)
Low electrical conductivity and weak magnetization properties.
b)
High magnetic permeability and strong magnetization properties.
c)
High thermal conductivity and low magnetic permeability.
d)
Strong electrical insulation and no magnetization properties.
67.

The magnetizing force (H) is given by:

a)

H=NI/j

b)

H=Φ/A

c)

H=B/μ

d)

H=F/R

68.

The relationship between B and H is:

a)

B=μH

b)

B=H/μ

c)

B=μ/H

d)

B=H+μ

69.

Ampère's circuital law states that:

a)

∑NI=∑Hj

b)

∑Hj=∑NI

c)

∑Φ=0

d)

∑B=0

70.

The principle of a DC motor is based on:

a)

Faraday's law of induction

b)

Fleming's left-hand rule

c)

Ohm's law

d)

Kirchhoff's law

71.

The commutator in a DC motor is used to:

a)

Decrease the torque

b)

Increase the speed of the motor

c)

Reverse the direction of current in the armature

d)

Generate magnetic flux

72.

The armature in a DC motor is the:

a)
The part that converts AC to DC.
b)
The stationary part of the motor that supports the armature.
c)
The component that stores electrical energy.
d)
The rotating part of the motor that carries current.
73.

The brushes in a DC motor are used to:

a)
increase the speed of the motor
b)
reduce friction between parts
c)
conduct current between the stationary and rotating parts of the motor
d)
provide mechanical support to the rotor
74.

The back emf in a DC motor is proportional to:

a)
The voltage applied to the motor
b)
The resistance of the motor windings
c)
The speed of the motor and the strength of the magnetic field.
d)
The size of the motor's rotor
75.

The torque produced by a DC motor is proportional to:

a)
The voltage applied to the motor.
b)
The armature current and magnetic field strength.
c)
The speed of the motor's rotation.
d)
The resistance of the motor windings.
76.

The speed of a DC motor can be controlled by:

a)

Varying the voltage

b)
Using a different type of motor
c)
Increasing the load on the motor
d)

None of the above

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