A plane wave E⃗=(3000 N/C) ĵ sin(πx-3π×10⁸t) travels in vacuum. A conducting rectangular loop lies in the xy-plane with the dimensions shown. Choose the correct statements about the induced emf.

Question

G1 Physics · Accepted Answer

For E⃗=3000sin(πx-ωt)ĵ with ω=3π×10⁸ rad s⁻¹, the magnetic field is B⃗=10⁻⁵sin(πx-ωt)k̂ T. Integrating B⃗·dA⃗ over the rectangular loop gives Φ=-(4×10⁻⁵/π)cosωt Wb, hence ε=-dΦ/dt=-12000sinωt V. Thus ε=0 at t=0 and |ε|=6000 V at t=(1/1800) μs. Correct: A,D.