A uniform time-varying magnetic field exists only inside radius R with |dB/dt|=k. Let E₁ be the induced field at r=R/2 and E₂ at r=2R. Which statements are correct?
Select all that apply

Question

A uniform time-varying magnetic field exists only inside radius R with |dB/dt|=k. Let E₁ be the induced field at r=R/2 and E₂ at r=2R. Which statements are correct?

G1 Physics · Accepted Answer

Inside, E₁=k(R/2)/2=kR/4. Outside, E₂=kR²/[2(2R)]=kR/4. Their field magnitudes match, but the path circumferences differ, so loop EMFs differ.