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Figure shows an isosceles triangle wire ...

Figure shows an isosceles triangle wire frame with apex angle equal to `(pi)//2`. The frame starts entering into the region of uniform magnetic field B with constant velocity v at t =0. The longest side of the frame is perpendicular to the direction of velocity. If i is the intantaneous current through the frame then choose the alternative showing the correct variation of i with time.

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D


Area inside the field `A=(1/2 V^(2)t^(2))xx2=V^(2)t^(2)`
`phi= BV^(2)t^(2) implies (dphi)/(dt)=BV^(2)2t`
`e=2BV^(2)t implies I prop t`
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