Question

. The total charge entering a terminal is given by q=5t sin 4πt C. Calculate the current at t=0.5 s.

Answer 1

Answer:

i = dq/dt = 5t(cos 4πt)(4π) + 5sin 4πt

i = 5*0.5*cos(4π*0.5)*4π + 5*sin(4π*0.5)

i = 2.5*cos(2π)*4π + 5*sin(2π)

i = 10π + 0

i = 31.4159 mA