A single circular loop of radius lies in a region where the perpendicular magnetic…
PHYSICS · Multi-part · AP · Physics C: Electricity and Magnetism · Electromagnetic Induction · Electromagnetic Induction
Problem
A single circular loop of radius 5.0cm lies in a region where the perpendicular magnetic field varies with radius r and time t according to B(r,t)=2rtT (with r in metres and t in seconds).
(i) Derive an expression for the magnetic flux through the loop as a function of time.
(ii) Hence find the magnitude of the induced emf at t=0.020s.