1. The problem statement, all variables and given/known data A flat loop of wire of area 15.7 cm2 and 1.09 turns is perpendicular to a magnetic field whose magnitude decays in time according to B = 0.5 e−t/7. What is the maximum induced emf? Answer in units of V. 2. Relevant equations [tex]\epsilon=[/tex] [tex]\Delta[/tex][tex]\Phi[/tex]B/[tex]\Delta[/tex]t [tex]\epsilon=[/tex] - (dB/dt) N A Cos[tex]\theta[/tex] 3. The attempt at a solution I have: A = 15.7 X 10-4 m2 N = 1.09 turns B = 0.5 e-t/7 Maximum [tex]\epsilon[/tex] = E max. = ?? I found E max. = - ( 1.09) * ( 15.7 X 10-4 ) * Cos(0) * d(0.5 e-t/7)/dt = 1.22 X 10-4 e-t/7 Then i found the first deravative of induced emf in terms of time & got another equation. Then i made that equation equal to zero to find value of time for max. [tex]\epsilon[/tex]. But there is no such value for time. Calculator says false everytime which is true. I tried to take the second deravative and equalize to zero and again same paroblem occured. Soooo any help will be appreciated.