WAEC - Physics (2024 - No. 23)

A 2 μF capacitor is connected directly across a 150 V\(_{rms}\), 60 Hz A.C source. Calculate the r m s value of the current.
0.113 A
0.160 A
150 A
1324 A

Explanation

X\(_c\) = \(\frac{1}{2\pi FC}\)

X\(_c\) = \(\frac{1}{2 \times 3.142 \times 60 \times 2 \times 10^{-6}}\)

X\(_c\) = 1326.1192\(\Omega\)

I = \(\frac{\text{V}}{X_c}\)

I = \(\frac{150}{1326.1192}\) = 0.113A

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