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Question

In an LCR circuit the potential difference between the terminal of the inductance is $$60\ V$$, between the terminals of the capacitor is $$30\ V$$ and that between the terminals of the resistance is $$40\ V$$. The supply voltage will be equal to:


A
130 V
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B
10 V
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C
50 V
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D
70 V
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Solution

The correct option is C $$50\ V$$
Supply voltage of an LCR circuit
$$V=\sqrt{V_R^2+(V_L-V_C)^2}$$

since inductor and capacitor potentials are out of phase with each other)

$$=\sqrt{40^2+(60-30)^2}\ V$$
$$=50\ V$$

Physics

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