A 25 μF capacitor, a 0.10 H inductor, and a 25 Ω resistor is connected in series with an AC source of emf ε = 310 sin 314t. What is the frequency of the AC source?
50 Hz
The given AC source equation is:
ε = 310 sin 314t.
Comparing with the standard form ε = ε0 sin(ωt), we identify ω = 314 rad/s.
Frequency f is given by:
f = ω / (2π) = 314 / (2 × 3.14) ≈ 50 Hz.
Thus, the correct answer is (c).
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