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Q.

A L-C-R series combination is connected to an AC source. If voltages across the inductor, capacitor, resistor are 75V, 100V and 25V respectively. Then the voltage across the AC source is

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a

$25 \sqrt{2} V$

b

$50 \sqrt{2} V$

c

$40 \sqrt{2} V$

d

$100 \sqrt{2} V$

answer is B.

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Detailed Solution

$V = \sqrt{V_{R}^{2} + {(V_{L} - V_{C})}^{2}} = \sqrt{25^{2} + 25^{2}} = 25 \sqrt{2} V$ .

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