Question 3

**Setting up the flux** The loop rotates from the XZ plane into the region y ≥ 0 (clockwise as viewed from +X takes the loop from +Z toward +Y). Hence: - For 0 ≤ ωt ≤ π, the loop is in y ≥ 0 where the field exists. - For π ≤ ωt ≤ 2π, the loop is in y < 0 where B = 0, so the emf is zero. While in the field, the loop's normal makes angle ωt with the Z‑axis, so Φ = B₀ cos(ωt) · A · cos(ωt) = B₀A cos²(ωt) V = −dΦ/dt = B₀Aω · 2 sin(ωt)cos(ωt) = B₀Aω sin(2ωt) So the emf is a sinusoid of angular frequency 2ω (one full cycle between t = 0 and π/ω), then zero from π/ω to 2π/ω, then repeats. This matches plot (A).

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