A 1000V battery, a 3000Ω resistor and a 0.5 μf capacitor are connected in series with a switch. The time constant for such a circuit, designated by the Greek letter, τ, is defined as the time required to charge the capacitor to 63% of it capacity after the switch is closed. What is the current at a time interval of τ seconds after the switch is closed?
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Time constant of simple RC circuit is R*C
For inductor-resistor circuit the time constant is L/R
Unit of Time constant is second.
If the circuit contains independent voltage source treat it as a short circuit while calculating the time constant.current source can be treated as an open circuit.
Similarly if more resistors/capacitors/inductors are present first find the equivalent resistance/capacitance/inductance & then use that value in the above eqn for finding the time constant.
Here time constant is R*C=3000*(0.5)*10^(-6) =1.5milliseconds