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Q.

In the circuit shown, effective current through source is

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a

0.5A

b

$2 \sqrt{2} A$

c

2A

d

$\sqrt{0.4} A$

answer is B.

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Detailed Solution

$X_{C} = 100 Ω, X_{L} = 200 Ω \Rightarrow R = X_{L} - X_{C} = 100 Ω$

$\begin{array}{l} Y = \frac{1}{R} + j \frac{1}{(X_{L} - X_{C})} \\ \Rightarrow | Y | = \sqrt{{(\frac{1}{R})}^{2} + {(\frac{1}{100})}^{2}} = \sqrt{{(\frac{1}{100})}^{2} + {(\frac{1}{100})}^{2}} = \frac{\sqrt{2}}{100} \\ I = VY = 200 \times \frac{\sqrt{2}}{100} = 2 \sqrt{2} A \end{array}$

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