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)

 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. Fi

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