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Using Lenz's Law

A conducting ...

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A conducting loop of area A and resistance R is placed perpendicular to the magnetic field B. The loop is withdrawn completely from the field. Derive an expression for induced charge that flows through any cross section of the wire

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Solution

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The magnetic flux through the coil is given by
ϕ = B.A = BA cos 0° = BA
It is given that the loop is withdrawn from the magnetic field.
∴ Final flux = 0
The average induced emf is given by
e=−∆ϕ/∆t
=(BA−0)/t
=BA/t
The current in the loop is given by
i=e/R
=BA/tR
The charge flowing through the area of the cross section of the wire is given by
q =current*time
=it
=BA/R

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