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A coil of surface area 200 cm² having 25 turns is held perpendicular to a magnetic field of intensity 0.02 Wb m⁻². The resistance of the coil is 1 Ω. If it is removed from the magnetic field in 1 s, the induced charge in the coil is _______ C.

Asked in GUJCET 2019 · Induced charge

Answer: (2) 0.01

Step-by-step solution

Given: A=200 cm²=0.02 m², N=25, B=0.02 T, R=1 Ω. The plane of the coil is perpendicular to the field, so each turn links Φ=BA.

Idea: the charge that flows depends only on the total change in flux linkage, q=(N ΔΦ)/R, not on how quickly it happens.

N ΔΦ=25×0.02×0.02=0.01 Wb.

q=(0.01)/1.

So q=0.01 C; the 1 s does not affect it.

Why the other options are wrong

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