Electrical Engineering > GATE 2026 > Electromagnetic Induction
The figure shows an arbitrarily shaped planar conducting loop A in the XY plane. Two nonintersecting regions with areas a1 and a2 within the loop are subjected to magnetic fields B⃗1 = (m/√2)sin(ωt)(1x̂+0ŷ+1ẑ), and B⃗2 = −(n/√2)cos(2ωt+π/4)(0x̂+1ŷ+1ẑ), respectively.
What is the expression for the induced rms voltage in loop A?
A
√((a1²ω²m² + 4a2²ω²n²)/4)
B
√((a1²ω²m² + 4a2²ω²n²)/2)
C
√((a1²ω²m² − 2a2²ω²n²)/2)
D
√(a1²ω²m² + 2a2²ω²n²)

Correct : a

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induced emf loop GATE Electrical Engineering 2026 magnetic field induction loop area calculation induced voltage rms GATE 2026 electrical electromagnetic induction loop area magnetic fields

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