During the transient response of an RC circuit, what is the behavior of the volt

During the transient response of an RC circuit, what is the behavior of the voltage across the capacitor?

During the transient response of an RC circuit, what is the behavior of the voltage across the capacitor?

Step 1: Understand that an RC circuit consists of a resistor (R) and a capacitor (C) connected in series.
Step 2: When the circuit is powered on, the capacitor starts charging.
Step 3: The voltage across the capacitor does not increase instantly; it takes time to charge.
Step 4: The charging of the capacitor follows an exponential curve.
Step 5: Initially, the voltage across the capacitor is 0 volts.
Step 6: As time passes, the voltage across the capacitor increases gradually.
Step 7: Eventually, the voltage will approach the supply voltage (the voltage of the power source).
Step 8: The time it takes to charge to about 63% of the supply voltage is called the time constant (τ = R × C).
Step 9: After a long time, the voltage across the capacitor will be equal to the supply voltage.

Transient Response in RC Circuits – The behavior of voltage across a capacitor during charging or discharging in an RC circuit.
Exponential Growth – The mathematical nature of how voltage changes over time in response to a step input.
Steady State – The final voltage level the capacitor reaches after the transient response is complete.