Question

Exercise: A triangle-wave voltage with amplitude 2 V and frequency 1 kHz is applied across a capacitor. The capacitance is 0.1 µF. Based on the mathematics discussed above, we can say that the current will be a square-wave. What is the amplitude of the square-wave current?

Exercise: A sinewave voltage with amplitude 2 V and frequency 1 kHz is applied across a capacitor. The capacitance is 0.1 µF. What is the amplitude of the current?

Answer 1

When a sinusoidal voltage is applied to a capacitor, the current follows the voltage by one-fourth of a cycle or a 90° phase angle. In the case of a triangle-wave voltage, the amplitude of the square-wave current can be determined by considering the rate of change of voltage.

Step-by-step explanation:

When a sinusoidal voltage is applied to a capacitor, the current follows the voltage by one-fourth of a cycle or a 90° phase angle.

In the case of a triangle-wave voltage, the amplitude of the square-wave current can be determined by considering the rate at which the voltage changes. As the voltage changes linearly, the rate of change of voltage determines the amplitude of the square-wave current.

Therefore, in the given scenario, the amplitude of the square-wave current will depend on how quickly the voltage changes in the triangle-wave. The higher the frequency of the triangle-wave, the larger the rate of change of voltage, and consequently, the larger the amplitude of the square-wave current.