Answer
a.) $-80*sin(20*t- \pi/2)$
b.) $200*cos(100*t)$
c.) $-480*cos(80*t+\pi/6)$
d.) $-300*sin(100*t +\pi/4)$
Units in mA
Work Step by Step
Start by using the equation $C*\frac{dV}{dt} = i$ to find current in each case
In each case take the derivative of the voltage and multiply it by 100uF to get current
a.) $i=-100*(40*20*sin(20*t-\pi/2))$
$i= -80*sin(20*t- \pi/2)$ mA
b.) $i = 100*(20*100*cos(100*t)) $
$i = 200*cos(100*t) mA$
c.)
$i = -100*(60*80*cos(80*t+\pi/6))$
$ i = -480*cos(80*t+\pi/6) mA$
d.)
$i = -100*(30*100*sin(100*t + \pi/4))$
$ i = -300*sin(100*t +\pi/4) mA$
