A time-varying magnetic field B is confined to a circular region of radius r. Loop 1 of radius R > r encloses this region while loop 2 lies outside the field region without enclosing flux. Find induced emfs in loops 1 and 2. [Image]
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Question

A time-varying magnetic field B is confined to a circular region of radius r. Loop 1 of radius R > r encloses this region while loop 2 lies outside the field region without enclosing flux. Find induced emfs in loops 1 and 2. [Image]

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G1 Physics · Accepted Answer

Step 1: Flux through loop 1 is Φ₁ = Bπr² even though loop radius is larger. Step 2: Faraday’s law gives ε₁ = −πr²(dB/dt). Step 3: Loop 2 encloses no changing magnetic flux so ε₂ = 0. Printed key C; verify duplicate expressions in options from scan. Final answer: (C) −πr²(dB/dt) in loop 1 and zero in loop 2.