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Two coils have a mutual inductance of 0.005H. The current changes in the first coil according to equation `I=I_0 sin omegat` , where `I_0` = 10A and `omega = 100pi` rad/sec. The maximum value of emf in the second coil is ___

A

`2pi`

B

`5pi`

C

`pi`

D

`4pi`

Text Solution

Verified by Experts

The correct Answer is:
B
Induced emf `epsilon=-M(dI)/(dt) =-M d/(dt)(t^2 e^(-t))`
`=-M I_0 omega cos omegat`
When `cos omegat =-1` , then emf will be maximum
`therefore epsilon_"maximum"=0.005xx10xx100xx(-1)=5piV`
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KUMAR PRAKASHAN-ELECTROMAGNETIC INDUCTION-Section D MCQs (From DARPAN Based on Textbook )
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  3. Two coils have a mutual inductance of 0.005H. The current changes in t...

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  5. Find mutual inductance of two coaxial solenoids of equal length 30 cm ...

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  6. A coil of resistance 20Omega and self-inductance 5 H connected with b...

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  7. The unit of inductance is equivalent to …..

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  8. A solenoid has radius r and length l carries a current I. If the numbe...

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  9. Current I is following through a toroidal solenoid of radius r, length...

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  10. If N is the number of turns in a coil, the value of self inductance va...

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  11. If number of turns in a coil is increased from 10 to 100, its inductan...

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  12. Two inductors each of self-inductance L is connected in parallel. If t...

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  13. Mutual inductance of system of two coils is 0.3 H. If the current in t...

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  14. The flux linked with each turn of coil is 0.1 Wb and total number of t...

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  15. As shown in the figure, the planes of two concentric coils are mutuall...

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  16. Two circular coils can be arranged in any of the three situations as s...

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  17. X and Y coils are joined in a circuit in such a way that when the chan...

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  18. A circular coil of radius 5 cm has 500 turns of a wire. The approximat...

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  19. Mutual inductance of two coils can be increased by

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  20. Self inductance of straight conducting wire is

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