A series LCR circuit is connected to a source of alternating e.m.f. of 50 V. The potential difference across inductor and capacitor is 80 V and 50 V respectively. The potential difference across the resistor is

Question

Quantrex Academy · Accepted Answer

Correct answer: D. 40 V

In a series LCR circuit, the relationship between the applied voltage

V

and the voltages across the resistor

V_R

, inductor

V_L

, and capacitor

V_C

is given by:

V = \sqrt{V_R^2 + (V_L - V_C)^2}

Given:

V = 50

V

V_L = 80

V

V_C = 50

V

Substituting the values into the formula:

50 = \sqrt{V_R^2 + (80 - 50)^2}

50^2 = V_R^2 + 30^2

2500 = V_R^2 + 900

V_R^2 = 2500 - 900 = 1600

V_R = 40

V

Answer:

40

V

A series LCR circuit is connected to a source of alternating e.m.f....

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