Electromagnetic Induction Test

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Electromagnetic Induction Test - 6

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Question 1
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According to Farady 's law

A
The magnitude of the induced emf in a circuit is proportional to the time of change of magnetic flux through the circuit.

B
The magnitude of the induced emf in a circuit is equal to change of magnetic flux through the circuit.

C
The magnitude of the induced emf in a circuit is inversely proportional to the time rate of change of magnetic flux through the circuit. .

D
The induced emf with different polarities induces a current whose magnetic field opposes the change in magnetic flux

Solution

Explanation:The induced electromotive force in any closed circuit is equal to the negative of the time rate of change of the magnetic flux enclosed by the circuit.
Question 2
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Current in a circuit falls from 5.0 A to 0.0 A in 0.1 s. If an average emf of 200 V induced, estimate of the self-inductance of the circuit is

A
4H .

B
5H

C
2H

D
3H

Solution
Question 3
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The magnetic field between the Horizontal poles of an electromagnet is uniform at any time, but its magnitude is increasing at the rate of 0.020T/s.The area of a horizontal conducting loop in the magnetic field is 120cm² , and the total circuit resistance, including the meter, is 5 Ω. Induced emf and the induced current in the circuit are

A
0.18 mV,0.048 mA

B
0.22 mV,0.048 mA

C
0.20 mV,0.048 mA

D
0.24 mV,0.048 mA

Solution

Explanation:

e = Rate of change of magnetic field x area
Question 4
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Coils C₁ and C₂ are stationary. C₁ connected in series with one very small diwali bulb while C₂ is connected to a battery .If the connection is suddenly snapped

A
the bulb glows momentarily.

B
nothing happens to the bulb

C
the bulb keeps glowing

D
the bulb absorbs light

Solution

Explanation:Flux will be changed due to this current is induced momentarily
Question 5
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If AC generator coil has area A, rotates in a magnetic field of B with an angular speed ω , the voltage generated is

A
varies linearly

B
is constant

C
varies quadratically

D
varies sinusoidally.

Solution

Explanation:e=NBA ωSin ωt
Question 6
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Kamla peddles a stationary bicycle the pedals of the bicycle are attached to a 100 turn coil of area 0.10m² . The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of 0.02 T perpendicular to the axis of rotation of the coil. What is the maximum voltage generated in the coil?

A
0.628

B
0.314

C
0.714

D
0.554

Solution

Maximum voltage
Question 7
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A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5 s, change of flux linkage with the other coil is

A
45 Wb

B
30 Wb .

C
40 Wb

D
35 Wb

Solution
Question 8
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The magnetic field between the Horizontal poles of an electromagnet in is uniform at any time, but its magnitude is increasing at the rate of 0.020 T/s.The area of a loop made of perfect insulating material is 120cm² .This loop is kept horizontally in the magnetic field. Induced emf and the induced current in the circuit are

A
0.54 mV,zero

B
0.84 mV,zero

C
0.24 mV,zero

D
0.14 mV,zero

Solution

e = Rate of change of magnetic field x area

=0.02 ×120 ×10⁻⁴ =0.24mV
Question 9
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If the polarity of induced emf is such that it tends to produce a current which aids the change in magnetic flux that produced it, which conservation law is violated?

A
conservation of momentum

B
conservation of charge

C
conservation of energy.

D
conservation of mass

Solution

Explanation : In this case we would be obtaining electrical energy continuously without doing any work.
Question 10
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A rectangular loop and a circular loop are moving out of a uniform magnetic field region to a field-free region with a constant velocity v as shown in fig. In which loop do you except the induced EMF to be constant during the passage out of the field region if the field is normal to the loops.

A
rectangular loop

B
none

C
Both of them

D
circular loop

Solution

Explanation:The induced EMF is expected to be constant in the case of a rectangular loop. In case of a circular loop, the rate of change of area of the loop during the passage out of the field region is not constant, whereas it is constant for rectangular loop.