Chapter 15, Problem 1TFQ

Transient time for an RC circuit is the same as the time constant.

To determine

To check: Whether the given statement is true or false.

Answer to Problem 1TFQ

The given statement is $\text{False}$

Explanation of Solution

A given circuit is a RC integrator circuit. Consider the circuit of an RC integrator shown below.

  

Here, input $V_{in}$ is applied across the series combination of resistance and capacitance and the output $V_{out}$ is taken across the capacitor.

In an RC circuit, the time taken for a capacitor to get fully charged or discharged is called transient time and it is expressed as 5 times the time constant of the circuit. The time constant of the circuit for a given value of resistance and capacitance is given by,

  $\tau =RC$

Hence, the transient time,

  $\begin{array}{c}tr=5\tau \\ =5RC\end{array}$ ....... (1)

Thus, transient time and time constant are not the same.