2024 Alternating CurrentCapacitive Circuit (Peak Current) Medium Question 6 of 60 in Alternating Current

A 10 μF capacitor is connected to a 210 V, 50 Hz source as shown in figure. The peak current…

A 10 $\mu F$ capacitor is connected to a 210 V, 50 Hz source as shown in figure. The peak current in the circuit is nearly ($\pi = 3.14$):
A 1.20 A
B 0.35 A
C 0.58 A
D 0.93 A

The answer is D.

Solution

$V_{rms} = 210$ V, so $V_0 = 210\sqrt{2}$ V $I_0 = \frac{V_0}{X_C} = V_0\omega C = V_0 \times 2\pi f \times C$ $= 210\sqrt{2} \times 2\pi \times 50 \times 10 \times 10^{-6}$ $\approx 0.93$ A

Concept Peak current in a purely capacitive AC circuit

Alternating Current in past papers

60 questions from this chapter have appeared across 24 exam years.