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The coefficient of mutual inductance...

The coefficient of mutual inductance

A

`(mu_(0)a)/(2pi)1n(1+(a)/(2b))`

B

`(mu_(0)a)/(pi)1n(1+(b)/(2a))`

C

`(mu_(0)a)/(2pi)1n(1+(a)/(b))`

D

`(mu_(0)a)/(2pi)1n(1+(b)/(a))`

Text Solution

Verified by Experts

The correct Answer is:
C
Magnetic field due to wire
`B=(mu_(0)i)/(2pix),dA=adx`
`dphi=BdA`
`phi=(mu_(0)ia)/(2pi)int_(b)^(b+a)(dx)/(x)=(mu_(0)ia)/(2pi)1n(1+(a)/(b))=Mi`
`M=(mu_(0)a)/(2pi)1n(1+(a)/(b))`
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CP SINGH-ELECTROMAGNETIC INDUCTION-EXERCISES
  1. Two coils have a mutual inductance 0.005 H. The current changes in the...

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  2. The mutual inductance between two coils is 2.5 H. If the current in on...

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  3. The coefficient of mutual inductance

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  4. An inductor of 2 henry and a resistance of 10 ohms are connected in se...

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  5. A coil o finductanc e8.4mH and resistance 6Omega is connected to a 12V...

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  6. An ideal coil of 10 henry is joined in series with a resistance of 5 o...

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  7. An e.m.f. of 15 volt is applied in a circuit containing 5 henry induct...

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  8. In the figure magnetic energy stored in the coil is

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  9. The time constant of an LR circuit respresents the time in which the c...

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  10. An inductance L and a resistance R are first connected to a battery. A...

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  11. An inductor (L = 100 mH), a resistor (R = 100 (Omega)) and a battery (...

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  12. An inductor of inductance L=400 mH and resistor of resistance R(1) = 2...

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  13. In the circuit shown below, the key K is closed at t =0. The current t...

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  14. The figure shows theree cirrcuit with idential batteries, inductors, a...

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  15. A coil and a bulb are connected in series with a dc source, a soft iro...

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  16. The adjoining figure shows two bulbs B(1) and B(2) resistor R and an i...

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  17. If the switch in the following circuit is turned off, then

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  18. An inductor L , a resistanece R and two identical bulbs, B(1) and B(2)...

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  19. A capacitor is fully changed with a battery. Then the battery is remov...

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  20. In an oscillating LC circuit the maximum charge on the capacitor is Q....

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