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

Respuesta :

Answer:

The maximum potential difference across capacitor is 20 V

Explanation:

Given;

maximum emf of the ac circuit, [tex]V_{max}[/tex] = 25 V

maximum potential difference across resistor, [tex]V_R[/tex]  = 15 V

maximum potential difference across capacitor, [tex]V_C[/tex] = ?

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

[tex]V_{max} = \sqrt{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 = \sqrt{400} \\\\V_C = 20 \ V[/tex]

Therefore, the maximum potential difference across capacitor is 20 V