In an RC circuit, if resistance is kept constant, what happens to the time constant when capacitance increases?

In an RC circuit, the time constant (τ) is defined as the product of resistance (R) and capacitance (C), expressed mathematically as τ = R × C. When the resistance is kept constant and the capacitance is increased, the time constant will also increase because the increase in capacitance directly multiplies the existing value of resistance.

This direct relationship means that a larger capacitance allows the circuit to take longer to charge or discharge, effectively extending the time constant. As a result, if capacitance increases while the resistance remains constant, the overall time constant increases, which reflects a slower response time of the circuit to voltage changes.