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A coil one turn is made of a wire of cer...

A coil one turn is made of a wire of certain lenghth and then from the same length a coil of two turns is made. If the same current is passed both the cases, then the ratio of magnetic induction at there centres will be

A

`1 : 4`

B

`1 : 1`

C

`1 : 8`

D

`4 : 1`

Text Solution

Verified by Experts

The correct Answer is:
A

`B_(1)=(mu_(0)I)/(2R)xxN=(mu_(0)Ipi)/L,B_(2) = (mu_(0)I)/(2R_(1))xx2=(4mu_(0)Ipi)/L`
`implies B_(1)/B_(2)=1/4`
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