Electromagnetic Induction Test

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Electromagnetic Induction Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

Using mass (M), length (L), time (T) and current (A) as fundamental quantities, the dimension of permittivity is

A
ML²T^-1A²

B
M^-1L^-3T⁴A²

C
ML^-2T²A

D
MLT^-2A

Solution

Permittivity = [Charge]² × [Force]^–¹ × [Distance]^–²
Or, ε = [I¹T¹]² × [M¹ L¹T^-2]^–¹ × [M⁰ L¹ T⁰]^–² = [M¹ L^-3 T⁴I²] = M^-1L^-3T⁴A²
Question 2
1 / -0

An ac generator consists of 8 turns of wire, each of area A = 0.0900 m², and the total resistance of the wire is 12.0Ω. The loop rotates in a 0.500 T magnetic field at a constant frequency of 60.0 Hz. Maximum induced emf is

A
106 V

B
116 V

C
136 V

D
126 V

Solution

e = NBAω = NBA2πn = 8 × 0.5 × 0.09 × 2 × 3.14 × 60 = 136V
Question 3
1 / -0

Two coils are placed closed to each other. The mutual inductance of the pair of coils depends upon:

A
the rates at which currents are changing in the two coils

B
relative position and orientation of the two coils

C
the currents in the two coils

D
the material of the wires of the coils

Solution

The mutual inductance of a pair of coils depends upon the relative position and orientation of the two coils.
Question 4
1 / -0

What happens to the current in coil while accelerating a magnet inside it?

A
Increases

B
Decreases

C
Reverses

D
Remains constant

Solution

A change in the magnetic field induces an emf. When there is an emf, there has to be current. Hence, when the magnet is moved inside a coil, the current in it increases.
Question 5
1 / -0

If two coils of inductances L₁ and L₂ are linked such that their mutual inductance is M, then the maximum value of M is

A
L₁ + L₂

B
L₁ x L₂

C
√L₁ L₂

D
L₁ - L₂

Solution

M = k√L₁ L₂

here k is coefficient of coupling. Its maximum value is 1 for tight coupling.

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Re-Attempt Weekly Quiz Competition

Electromagnetic Induction Test - 10

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Electromagnetic Induction Test - 10

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SHARING IS CARING

Question 1

ML2T-1A2

M-1L-3T4A2

ML-2T2A

MLT-2A

Solution

Question 2

106 V

116 V

136 V

126 V

Solution

Question 3

the rates at which currents are changing in the two coils

relative position and orientation of the two coils

the currents in the two coils

the material of the wires of the coils

Solution

Question 4

Increases

Decreases

Reverses

Remains constant

Solution

Question 5

L1 + L2

L1 x L2

√L1 L2

L1 - L2

Solution

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ML²T^-1A²

M^-1L^-3T⁴A²

ML^-2T²A

MLT^-2A

L₁ + L₂

L₁ x L₂

√L₁ L₂

L₁ - L₂