A coil of turns encloses an area of and has a resistance of
PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Magnetism and Electromagnetism · Magnetism and Electromagnetism
Problem
A coil of 400 turns encloses an area of 0.012m2 and has a resistance of 8Ω. Its plane is perpendicular to a spatially uniform magnetic field that varies with time according to
B(t)=0.30sin(120πt)T,
where t is in seconds.
(a) Derive an expression for the instantaneous emf E(t) induced in the coil as a function of time.
(b) Determine the amplitude (peak value) of the induced emf.
(c) Calculate the rms value of the emf for this coil.
(d) At t=0, specify the direction (clockwise or counter-clockwise when viewed from the side where the field is directed toward the reader) of the induced current and explain your reasoning.