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Q.

Figure shows a conducting loop made of three identical coplanar squares. Side of each square is 1.2m. Perpendicular to the plane of loop in complete space there exists uniform time dependent magnetic field $B = 20 t$ Tesla, where ‘t’ is in sec. Resistance per unit length of wires of each square is $1 Ω / m$ . Find current in loop in amperes?

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answer is 2.

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Detailed Solution

From Fardays law, $i = \frac{l_{n e t}}{R_{n e t}}$
$l_{n e t} = (\frac{d B}{d t}) a^{2}, R_{n e t} = 14.4 Ω; a = 1.2 m ∴ i = 2 A$

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Figure shows a conducting loop made of three identical coplanar squares. Side of each square is 1.2m. Perpendicular to the plane of loop in complete space there exists uniform time dependent magnetic field B=20t Tesla, where ‘t’ is in sec. Resistance per unit length of wires of each square is 1Ω/m . Find current in loop in amperes?