PHYSICS · Subjective · AP · Physics 2: Algebra-based · Magnetism and Electromagnetism · Magnetism and Electromagnetism
Problem
A circular loop of radius 0.20m has 50 closely wound turns. The current through the loop changes with time according to I(t)=10t2, where I is in amperes and t in seconds.
(i) Obtain an expression for the magnetic field at the centre of the loop as a function of time.
(ii) Hence write the time-dependent expression for the magnetic flux linked with the loop.
(iii) Determine the magnitude of the emf induced in the loop at t=2.0s.
(iv) State, with reason, whether the induced emf opposes or aids the increasing current.