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
B
10 V
C
50 V
D
70 V

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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