A coil is subjected to a time-varying magnetic flux given by the equation (t) = 50 (100 t) mWb , where t is in seconds. The maximum magnitude of the induced emf in the coil is:

Step-by-step solution

According to Faraday's law, the induced emf is the negative rate of change of magnetic flux: e = - d dt Given the flux function (t) = 50 10⁻³ (100 t) Wb , we differentiate with respect to time using the chain rule: e(t) = - d dt [ 50 10⁻³ (100 t) ] e(t) = -50 10⁻³ (- (100 t)) 100 e(t) = 5 (100 t) V The maximum magnitude of the induced emf occurs when the sine function reaches its peak value of 1 or -1 : e_ max = 5 V Answer: 5 V