Electromagnetic Induction

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Test1 Max. Marks = 40

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1. A coil of area 100 cm² has 500 turns. Magnetic field of 0.1 Wb m⁻² is perpendicular to the coil. The field is reduced to zero in 0.1 second. The induced e.m.f. in the coil is

4 points

(a) 1 V

(b) 5 V

(d) Zero

Clear selection

2. A circular coil of 500 turns of wire has an enclosed area of 0.1 m² per turn. It is kept perpendicular to a magnetic field of induction 0.2 T and rotated by 180° about a diameter perpendicular to the field in 0.1 sec. How much charge will pass when the coil is connected to a galvanometer with a combined resistance of 50 ohms

4 points

(a) 0.2 C

(b) 0.4 C

(d) 4 C

Clear selection

3. A rectangular coil of 20 turns and area of cross- section 25 sq cm has a resistance of 100 ohm. If a magnetic field which is perpendicular to the plane of the coil changes at the rate of 1000 Tesla per second, the current in the coil is

4 points

(a) 1.0 ampere

(b) 50 ampere

(d) 5.0 ampere

Clear selection

4. Magnetic flux ϕ (in weber) linked with a closed circuit of resistance 10 ohm varies with time t (in seconds) as

ϕ = 5t² - 4t +1

The induced electromotive force in the circuit at t = 0.2 sec. is

4 points

(a) 0.4 V

(b) – 0.4 V

(d) 2.0 V

Clear selection

5.The magnetic induction in the region between the pole faces of an electromagnet is 0.7 Wb/m². The induced e.m.f. in a straight conductor 10 cm long, perpendicular to B and moving perpendicular both to magnetic induction and its own length with a velocity 2 m/sec is

4 points

(a) 0.08 V

(b) 0.14 V

(d) 0.07 V

Clear selection

6. A wheel with ten metallic spokes each 0.50 m long is rotated with a speed of 120 rev/min in a plane normal to the earth’s magnetic field at the place. If the magnitude of the field is 0.4 Gauss, the induced e.m.f. between the axle and the rim of the wheel is equal to

4 points

(a) 1.256 x 10⁻³ V

(b) 6.28 x 10⁻⁴ V

(d) 6.28 x 10⁻⁵ V

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7. A rod of length 20 cm is rotating with angular speed of 100 rps in a magnetic field of strength 0.5 T about it’s one end. What is the potential difference between two ends of the rod

4 points

(a) 2.28 V

(b) 4.28 V

(d) 2.5 V

Clear selection

8. Two coils of self inductance L₁ and L₂ are placed closer to each other so that total flux in one coil is completely linked with other. If M is mutual inductance between them, then

4 points

(a) M = L₁ L₂

(b) M = L₁ /L₂

(d) M = (L₁ L₂)²

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9. In a transformer, the coefficient of mutual inductance between the primary and the secondary coil is 0.2 henry. When the current changes by 5 ampere/second in the primary, the induced e.m.f. in the secondary will be

4 points

(a) 5 V

(b) 1 V

(d) 10 V

Clear selection

10. A coil of wire of a certain radius has 600 turns and a self inductance of 108 mH. The self inductance of a 2nd similar coil of 500 turns will be

4 points

(a) 74 mH

(b) 75 mH

(d) 77 mH

Clear selection

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