First slide

AC Circuits

Question

An alternating emf of $e = 200 \sin 100 π t$ is applied across a capacitor of capacitance $\frac{1}{0.628} μ F$ , the capacitive reactance and the peak current is

Moderate

A

$\frac{2000}{π} Ω, 4 \times 10^{- 2} π A$
B

$2000 Ω, 10^{- 1} A$
C

$200 Ω, 20 A$
D

$2000 Ω, 5 \times 10^{- 3} A$

Solution

$X_{C} = \frac{1}{ω C} = \frac{1}{100 π \times \frac{1}{0.628 \times 10^{- 6}}} = \frac{10^{6} \times 0.620}{100 \times 3.14} = 2000 Ω$
$i_{o} = \frac{ε_{o}}{X_{C}} = \frac{200}{2000} = 10^{- 1}$ .

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