Question

A series RC circuit has │Vr│=15 V and │Vc│= 10 V.

Evaluate the magnitude of the applied voltage

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Answer 1

Answer:

The magnitude of the applied voltage, Vrms = 18.027 V.

Step-by-step explanation:

Given data:

In a series RC circuit,

Potential difference across the resistance, | Vr | = 15 V

Potential difference across the capacitance, | Vc | = 10 V

To find: the magnitude of the applied voltage or source voltage

Let the applied voltage or the source voltage be denoted as "Vrms".

In a series RC circuit, the formula for Vrms is given as

Vrms = $\sqrt{Vr^2 + Vc^2}$

or, Vrms = $\sqrt{15^2 + 10^2}$

or, Vrms = $\sqrt{225 + 100}$

or, Vrms = $\sqrt{325}$

or, Vrms = 18.027 V