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Sound Wave:Displacement Equation

The alternati...

Question

The alternating voltage and current in an electric circuit are respectively given by
$E = 100 s i n 100 π t$
$I = 5 s i n 100 π t$
The reactance of the circuit will be

20 Ω

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0.05 Ω

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1 Ω

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zero

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Solution

The correct option is A $20 Ω$
$E = 100 s i n 100 π t$
$1 = 5 s i n 100 π t$
Since current and voltage are in phase, so the circuit has only resistance.
$∴ R = \frac{E_{o}}{I_{o}} = \frac{100}{5} = 20 Ω$

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