A voltage v(t) = 100 cos(60t + 20°) V is applied to a parallel combination of a 40-kΩ resistor and a 50-μF capacitor. Find the steady-state currents through the resistor and the capacitor.

Current through resistor

Current through capacitor

Explanation:

Given data

Voltage v(t) = 100 cos(60t + 20°) V

Resistance R=40-kΩ

Capacitor C=50-μF

To find

Steady-state currents through the resistor and the capacitor.

Solution

The current flows through the resistor is:

Now the current flows through capacitor is:

step-by-step explanation:

we are given

we have to simplify it

firstly, we will factor it

now, we can cancel like terms

now, we can combine it

so, we get

v 154.9= 0.9 length length s little over 154.9cm