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A conducting square frame of side 'a' an...

A conducting square frame of side `'a'` and a long straight wire carrying current `I` are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity `'V'`. The emf induced in the frame will be proportional to

A

`(1)/((2x-a)^(2))`

B

`(1)/((2x+a)^(2))`

C

`(1)/((2x-a)(2x+a))`

D

`1//x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
As the emf induced `=B_(1)vl-B_(2)vl`
`=(mu_(0)l)/(2pi(x-a//2))lv-(mu_(0)I)/(2pi(x+a//2))lv prop(1)/((2x-a)(2x+a))`
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