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Figure shows an isosceles triangle wire frame with apex angle equal to $π / 2$ .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 instantaneous current through the frame then choose the alternative showing the correct variation of i with time.

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answer is D.

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Detailed Solution

$ϕ = B A = B [\frac{1}{2} (2 x) (x)]$

$ϕ = B x^{2}$

$|ε| = \frac{d ϕ}{d t} = 2 B x . v$

$I = \frac{ε}{(R)} = (\frac{2 B v}{R}) x$

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