For the given circuit the instantaneous current i 80 sin 37
For the given circuit the instantaneous current i = 80 sin 377t mA, the resistance R = 5k Ohm. Write an expression for instantaneous value of the voltage v. Find the maximum voltage, Find the r.m.s. voltage, Find v at 0.03 sec.
Solution
a)V= Vmsin377t Volts
b)Vm= Im*R = 80*10^-3 * 5 *10^3 =400V (maximum voltage)
c)rms voltage= Vm/sqrt2= 282.8V
d) given T=0.03 => frequency f= 1/T =33.33Hz
w= 2*pi*f = 209.4 rad/sec
V at 0.03sec= 400 sin(209.4t)
