A coil with N=200 turns and fixed cross-sectional area 4.0×10−4m2 is oriented so that its area vector is parallel to an external magnetic field that varies with time according to B(t)=0.50e−3.0tT, where t is in seconds.
(a) Derive an expression for the induced emf E(t) in the coil as a function of time.
(b) Evaluate E at t=0.20s and include the appropriate sign.