The time constant of an RC circuit is: 

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  1. \(\sqrt{RC}\)
  2. \(\frac{R}{C}\)
  3. \(\frac{C}{R}\)
  4. RC

Answer (Detailed Solution Below)

Option 4 : RC
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Detailed Solution

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CONCEPT:

When charging a capacitor by a battery, the voltage in the capacitor is given by:

F10 Jitendra 7-12-2020 Swati D3 

\(V_c = V_s(1-e^{\frac{-t}{RC}})\)

Where Vc is the voltage across the capacitor, Vs is the supply voltage, e is an irrational number presented by Euler as: 2.7182, t is the elapsed time since the application of the supply voltage, RC is the time constant of the RC charging circuit.

Time-constant: The time required in a circuit, as voltage or current, to rise or fall approximately 0.632 of the difference between its old and new value equals in seconds to the inductance of the circuit in henries multiplied by its resistance in ohms.

\(τ =RC\)

where τ is the time constant, R is the resistance, and C is the capacitance.

EXPLANATION:

The 'time constant' of a series RC circuit is​ RC.

So the correct answer is option 4.

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