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:

true, as the earth rotates the sun hits the surface of the planet; causing the day and night cycle.