Question

An RC series circuit is connected to an ac generator with a maximum emf of 25 V. If the maximum potential difference across the resistor is 15 V, then the maximum potential difference across the capacitor is

Answer 1

The maximum potential difference across capacitor is 20 V

Step-by-step explanation:

Given;

maximum emf of the ac circuit,
`V_(max)` = 25 V

maximum potential difference across resistor,
`V_R` = 15 V

maximum potential difference across capacitor,
`V_C` = ?

Determine the maximum potential difference across capacitor using the equation below;

`V_(max) = √(V_R^2 + V_C^2) \\\\25^2 = V_R^2 + V_C^2\\\\V_C^2 = 25^2 - V_R^2\\\\V_C^2 = 25^2 - 15^2\\\\V_C^2 = 400\\\\V_C = √(400) \\\\V_C = 20 \ V`

Therefore, the maximum potential difference across capacitor is 20 V