When a periodic triangular voltage of peak amplitude 1 V and frequency 0.5 Hz is applied to a parallel combination of 1 Ω resistance and 1 F capacitance, the current through the voltage source follows a specific waveform. Let's analyze the behavior of this circuit and understand the current waveform in detail.


When a resistor and a capacitor are connected in parallel, the voltage across both components is the same. However, the current through each component can vary.


The periodic triangular voltage source has a peak amplitude of 1 V and a frequency of 0.5 Hz. This means that the voltage waveform repeats itself every 2 seconds, and its shape resembles a triangle.


A capacitor is an energy storage element that opposes changes in voltage. When a voltage is applied across a capacitor, it charges and discharges depending on the voltage source. The rate of change of voltage across the capacitor determines the current through it.


Initially, when the voltage source starts at 0 V, the capacitor behaves as a short circuit, allowing maximum current to flow through it. As the voltage increases, the capacitor charges and the current gradually decreases until it reaches a minimum value.

When the voltage source starts decreasing, the capacitor discharges, and the current starts increasing again. This process continues in a cyclical manner as the voltage source repeats its triangular waveform.


The current waveform through the voltage source in this parallel combination of resistance and capacitance is not a perfect triangular waveform like the voltage source. Instead, it is a distorted waveform due to the behavior of the capacitor.

At the beginning of each voltage cycle, the current rapidly increases as the capacitor charges. As the voltage reaches its peak and starts decreasing, the current through the capacitor decreases, resulting in a distorted triangular waveform.

The current waveform will have a peak value at the beginning of each voltage cycle and gradually decrease as the voltage decreases. It will then reverse its direction and increase again during the discharge phase of the capacitor.

Overall, the current waveform will have a distorted triangular shape, with peaks occurring at the start of each voltage cycle and decreasing in magnitude as the voltage decreases.


When a periodic triangular voltage of peak amplitude 1 V and frequency 0.5 Hz is applied to a parallel combination of 1 Ω resistance and 1 F capacitance, the current through the voltage source follows a distorted triangular waveform. The current rapidly increases during the charging phase of the capacitor, reaches a peak, and then gradually decreases as the voltage decreases. It then reverses its direction and increases again during the discharging phase of the capacitor. This behavior results in a distorted triangular current waveform.