Question

Is the following statement true or false? The time constant of an RC circuit is the time it takes to completely charge or discharge the capacitor. O True False

Answer 1

FALSE

Step-by-step explanation:

As we know that equation for charging of a capacitor is given by

`q = CV(1 - e^{-(t)/(\tau)})`

now at t = 0 we can say there is no charge on the capacitor

now as the time will increase the value of charge will increase on the plates of capacitor

now after t = 1 time constant

we will have

`q = CV(1 - e^(-1))`

`q = 0.63 CV`

so after one time constant the capacitor will charged upto 63% of its maximum value.