Question

How many time constants will elapse before the power delivered by a battery drops to half of its maximum value in an RC circuit?

Answer 1

In an RC circuit, the amount of constants of time that will pass by a battery before the delivery of power drops to half of its extreme value is 0.69.

Explanation:

The power is shown with the below formula

Power = CV2 = q $\times$ V

Now, qV2 = qV $\times$ e-t/rc

⇒12 = e-t/rc  

trc = –0.69 = 0.69

So, the number of constants that will elapse is 0.69 in an RC circuit.