A circular wire loop of radius r rotates about the z-axis with angular speed ω. Its normal is always perpendicular to the z-axis and is parallel to the y-axis at t=0. A magnetic field B⃗=Bᵧĵ+B𝓏k̂ is applied. The induced emf ε(t) is:

Question

G1 Physics · Accepted Answer

For a moving conductor, ε=∫(v⃗×B⃗)·dℓ⃗. Combine this with Ohm’s law and Lenz’s law where required. The result is πr ωB y sin ωt 2 y.