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A square frame with side a and a long st...

A square frame with side a and a long straight wire carrying a current `i` are located in the same plane as m shown in figure. The fram translates to the right with a constant velocity `v`. Find the emf induced in the frame as a function of distance `x`.

Text Solution

Verified by Experts

The correct Answer is:
A, B

`e_("net")=e_1-e_2`
`=B_1va-B_2va`
`=(B_1-B_2)va`
`=[mu_0/(2pi) 1/x-mu_0/(2pi) i/(x+a)]va`
`=mu_0/(4pi) (2ia^2v)/(x(x+a))`
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Knowledge Check

  • 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

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