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Q.

The instantaneous current and instantaneous voltage across a series circuit containing resistance and inductance are given by $i = \sqrt{2} \sin (100 t - π / 4) A$ , $v = 40 \sin (100 t) V$ . The resistance in $Ω$ is.

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a

$10 \sqrt{2}$

b

$40$

c

$20 \sqrt{2}$

d

$20$

answer is B.

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Detailed Solution

The impedance of the circuit is $40 / \sqrt{2} = 20 \sqrt{2} .$ . As the phase difference is $45^{\circ}$ using $\cos ϕ = R / Z, \cos 45^{\circ} = R / 20 \sqrt{2}$

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