The current in the primary of a transformer changes with time as Ip=3.0sin(120πt)A, where t is in seconds. The mutual inductance between the coils is 0.25H.
a. (i) Obtain the expression for the instantaneous emf induced in the secondary.
b. (ii) Determine the peak value and the rms value of this induced emf.
c. (iii) Evaluate the instantaneous emf at t=5.0ms and state whether this value corresponds to a maximum, a minimum or a zero of the emf.