Free Printable Magnetism and AC circuit

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Magnetism and AC circuit

Total questions: 50

Worksheet time: 2hrs 36mins

Name

Class

Date

A proton is released such that it has an initial speed of 4.0 x 10⁵ m/s from left to right across the page. A magnetic field of 1.2 T is present at an angle of 30° to the horizontal direction (or positive x axis). What is the magnitude of the force experienced by the proton?

4.8 x 10^-25 N

1.3 x 10^-19 N

3.8 x 10^-14 N

7.5 x 10³N

The force on a charged particle created by its motion in a magnetic field is maximum at what angle between the particle velocity and field?

zero

180°

90°

45°

Assume that a uniform magnetic field is directed into this page. If an electron is released with an initial velocity directed from the bottom edge to the top edge of the page, which of the following describes the direction of the resultant force acting on the electron?

out of the page

to the right

to the left

into the page

A stationary positive charge +Q is located in a magnetic field B, which is directed toward the right as indicated. The direction of the magnetic force on Q is:

rightward

upward

downward

no magnetic force

What would increase the strength of an electromagnet?

Increasing the amount of current flowing through the wire.

Inserting a wooden core inside the coil

Changing the direction of the current

Decreasing the number of coils of wire

Which direction is the North Pole of this electromagnet?

Right

Left

Down

2 ways to increase the magnetic force of an electro-magnet

Increase the current flow, reduce the number of coils

Increase the voltage, decrease the number of coils

Increase the number of coils and the current flow

Spread out the coils, replace iron core with rubber.

The period of a wave is

the same as frequency

time required to complete one cycle

expressed in amperes

none of the above

There is a magnetic force on a particle. It is possible that the particle is:

uncharged.

stationary.

moving in the direction of the magnetic field.

not part of a wire.

10.

A copper wire of length 25 cm is in a magnetic field of 0.20 T. If it has a mass of 10 g, what is the minimum current through the wire that would cause a magnetic force equal to its weight?

1.3 A

1.5 A

2.0 A

4.9 A

11.

A current-carrying wire of length 50 cm is positioned perpendicular to a uniform magnetic field. If the current is 10.0 A and it is determined that there is a resultant force of 3.0 N on the wire due to the interaction of the current and field, what is the magnetic field strength?

0.60 T

1.5 T

1.8 x 10^-3 T

6.7 x 10^-3 T

12.

An electron is moving at a speed of 6.0 x 10⁶ m/s at an angle of 30° with respect to a uniform magnetic field of 8.0 x 10^-4 T. What is the radius of the resulting helical path? (m_e = 9.11 x 10^-31 kg, q_e = 1.6 x 10^-19 C)

8.5 cm

4.3 cm

3.7 cm

2.1 cm

13.

1) A bar magnet is at rest, next to a fixed electromagnet. In which direction will the bar magnet move when switch S is closed?

to the left

to the right

up the page

down the page

14.

Solenoid #1 has a length L, cross-sectional area A, and N turns. Solenoid #2 has a length 2L, cross-sectional area 2A, and 2N turns. Which solenoid has the greater magnetic field at its center when equal currents are going through them?

Both have the same magnetic field.

Since it depends on the values of A and L, none of the above are correct

15.

1) Two long parallel wires 40 cm apart are carrying currents of 10 A and 20 A in the opposite direction. What is the magnitude of the magnetic field halfway between the wires?

1.0 x 10^-5 T

2.0 x 10^-5 T

3.0 x 10^-5 T

4.0 x 10^-5 T

16.

1) A straight wire carries a current inside the paper. What is the direction of the magnetic field at point P?

Points to the right

Points to the left

Points to the top of the page

Points to the bottom of the page

17.

The current in a long wire creates a magnetic field in the region around the wire. How is the strength of the field at distance r from the wire center related to the magnitude of the field?

field directly proportional to r

field inversely proportional to r

field directly proportional to r²

field inversely proportional to r²

18.

A superconducting wire carries a current of 10⁴ A. Find the magnetic field at a distance of 1.0 m from the wire. (µ₀ = 4π x 10^-7 Tm/A)

2 x 10^-3T

8 x 10^-3 T

1.6 x 10^-2 T

3.2 x 10^-2 T

19.

Two long parallel wires 40 cm apart are carrying currents of 10 A and 20 A in the opposite direction. What is the magnitude of the magnetic field halfway between the wires?

1.0 x 10^-5 T

2.0 x 10^-5 T

3.0 x 10^-5 T

4.0 x 10^-5 T

20.

Two parallel conductors each of 0.50 m length, separated by 5.0 x 10^-3 m and carrying 3.0 A in opposite directions, will experience what type and magnitude of mutual force? (magnetic permeability in empty space µ₀ = 4π x 10^-7 T×m/A)

attractive, 0.06 x 10^-4 N

repulsive, 0.60 x 10^-4 N

attractive, 1.8 x 10^-4 N

repulsive, 1.8 x 10^-4 N

21.

A solenoid with 500 turns, 0.10 m long, carrying a current of 4.0 A and with a radius of 10^-2m will have what strength magnetic field at its center? (magnetic permeability in empty space µ₀ = 4π x 10^-7T×m/A)

31 x 10^-4 T

62 x 10^-4T

125 x 10^-4 T

250 x 10^-4 T

22.

In order to induce a voltage across a coil ____.

The coil must be in motion

Current must be increasing

There must be relative motion between the coil and the magnetic field

The coil must be cut by at least 10^8 lines of force per second

23.

See image

24.

A solenoid has N turns, a length /, and a cross-sectional area A. The current through the solenoid is reduced uniformly from l0 to zero in time T. Which expression represents the back-em.f. produced in the solenoid?

25.

An emf of 10 V is applied to a coil with an inductance of 40 mH and a resistance of 0.50 Ω.

Determine the energy stored in the magnetic field when the current reaches one half of its maximum value.

0.020 𝐽

0.20 𝐽

2.0 𝐽

20 𝐽

26.

How large a current must flow through a

1.2 H inductance so that the energy stored is 393 J?

19.7A

1.17A

98.9A

25.6A

27.

What is the effective (rms) current value for an AC current with an amplitude of 10 A?

28 A

3.1 A

7.1 A

14 A

28.

In an AC series circuit, the current in a pure resistor differs in phase with the applied voltage by what angle?

zero

45°

90°

180°

29.

An AC voltage source, with a peak output of 200 V, is connected to a 50 Ω resistor. What is the rate of energy dissipated due to heat in the resistor?

200 W

400 W

566 W

800 W

30.

An AC voltage source, with a peak output of 200 V, is connected to a 50 Ω resistor. What is the effective (or rms) current in the circuit?

2.8 A

4.0 A

5.6 A

2.0 A

31.

In an AC series circuit the capacitive reactance is 200 Ω and frequency is 100 Hz. What is the capacitance?

3.2 µF

6.28 µF

8.0 µF

50.0 µF

32.

The frequency in an AC series circuit is doubled. By what factor does this change the capacitive reactance?

1/2

1/4

33.

A 12.0 µ F capacitor is connected to an AC source with an rms voltage of 120 V and a frequency of 60.0 Hz. What is the rms current in the capacitor?

1.41 A

0.768 A

0.543 A

0 A

34.

When a 50 µF capacitor is attached to an AC source, its capacitive reactance is 40 W. If instead a 100 µF capacitor is attached to the same source, what will be its capacitive reactance?

80 Ω

57 Ω

28 Ω

20 Ω

35.

In an AC series circuit the inductive reactance is 50 Ω and the frequency is 100 Hz. What is the inductance in the circuit?

80 mH

240 mH

500 mH

740 mH

36.

The current in an inductor connected to an AC voltage source lags the voltage. This lag is caused by the:

back emf in the coil

voltage across the coil

time required for the electrical signal to travel through the coil of inductance

resistance of the coil

37.

What is the impedance of an AC series circuit that is constructed of a 10.0 Ω resistor along with 12.0Ω inductive reactance and 7.0 Ω capacitive reactance?

37.0 Ω

27.7 Ω

27.1 Ω

11.2 Ω

38.

What is the phase angle of an AC series circuit that is constructed of a 10.0 Ω resistor along with 12.00 Ω inductive reactance and 7.00 Ω capacitive reactance?

26.6°

18.4°

87.0°

63.4°

39.

Consider an AC series circuit containing a coil, capacitor and resistance. Tripling the frequency will change the inductive reactance by what factor?

1/3

1.0

1.73

3.0

40.

A resistor, inductor, and capacitor are connected in series, each with effective (rms) voltage of 65 V, 140 V, and 80 V, respectively. What is the value of the effective (rms) voltage of the applied source in the circuit?

48 V

88 V

95 V

285 V

41.

In an AC circuit, the ratio of average current to maximum current is:

zero

0.5

0.707

1.0

42.

A 50 Ω resistor, a 0.1H inductor, and a 10 µF capacitor are connected in series to a 60-Hz source. The rms current in the circuit is 3 A. Find the rms voltage across the resistor, the inductor, and the capacitor.

150 V, 113 V, 796 V (all rms)

0.06 V, 80 V, 562 V (all rms)

150 V, 113 V, 562 V (all rms)

60 V, 80 V, 796 V (all rms)

43.

An AC series circuit has 12.0 Ω resistance, 15.00 Ω inductive reactance and 10.00 Ω capacitive reactance. If an effective (rms) emf of 120 V is applied, what is the power output?

1540 W

1300 W

1160 W

1020 W

44.

What is the average power dissipation in a series RC circuit if R = 5.00 kΩ, C = 2.00 µF, and V = (170 V) cos 300t?

2.80 W

2.74 W

28.2 W

157 W

45.

Resonance occurs in an AC series circuit when which of the following conditions is met?

resistance equals capacitive reactance

resistance equals inductive reactance

capacitive reactance equals inductive reactance

capacitive reactance equals zero

46.

An AC series circuit contains a resistor of 20 Ω, a capacitor of 0.75 µF and an inductor of 120 mH. What frequency should be used to create a resonance condition in the circuit?

160 Hz

320 Hz

640 Hz

530 Hz

47.

A series RLC AC circuit is at resonance. It contains a resistor of 30 Ω, a capacitor of 0.35 µF and an inductor of 90 mH. If an effective (rms) voltage of 150 V is applied, what is the effective (rms) current when the circuit is in resonance?

3.3 A

5.0 A

9.4 A

16.1 A

48.

This phasor diagram for:

49.

This phasor diagram for:

50.

Write an equation that solves for the impedance, $Z_{total}$ , of this series circuit.

$Z_{total}=\sqrt{R^2+X^2}$

$Z_{total}=\sqrt{R^2-X^2}$

$Z_{total_{ }}=R^2+X^2$

$Z_{total}=R^2-X^2$

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Magnetism and AC circuit

Total questions: 50

Worksheet time: 2hrs 36mins

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