The effective charge flowing through a wire is given by, q = 5t sin 4πt mC. Calculate the instantaneous current flowing at time t=0.5 s.
The effective charge flowing through a wire is given by, q = 5t sin 4πt mC. Calculate the instantaneous current flowing at time t=0.5 s.
Right Answer is:
31.4 mA
SOLUTION
Charge flow q = 5t sin 4πt
The rate of flow of electrical charge is given by
I = dq/dt
I = d[5t sin 4πt]/dt
I = [5 sin(4πt) + 5t × 4π cos(4πt)]
t = 0.5 sec
I = [5 sin(2π) + 20π × 0.5 cos(2π)]
I = [0 + 10π × 1]
I = 10π = 10 × 3.14
I = 31.4 mA