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A short solenoid of length 4 cm, radius ...

A short solenoid of length 4 cm, radius 2 cm and 100 turns is placed inside and on the axis of a long solenoid of length 80 cm and 1500 turns. A current of 3 A flows through the short solenoid. The mutual inductance of two solenoids is :

A

`2.96 times 10^(-4) H`

B

`5.3 times 10^(-5)H`

C

`5.91 times 10^(-3)H`

D

`8.3 times 10^(-5)H`

Text Solution

Verified by Experts

The correct Answer is:
A
`M_(21)=(mu_(0)N_(1)N_(2)A_(2))/(l_(1))`
`therefore" "M_(21)=((4 times 314 times 10^(-7)) times 1500 times 100 times {3.14(2 times 10^(-2))^(2)})/(80 times 10^(-2))`
`" "M_(21)=2.96 times 10^(-4)H`
`rArr M_(12)=M_(21)=2.96 times 10^(-4)H`
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