A 25 μF capacitor, a 0.10 H inductor and a 25 N resistor are connected in series with an ac source of emf ε = 310 sin 314 t. What is the frequency of AC source?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 50 Hz
The AC voltage is given as,
$ε=ε_0\sin(ωt)$
and $ω=314\,rad\s$ [Given]
and, $ω=2\pi v$ [v = frequency]
$v=\frac{ω}{2\pi}=\frac{314}{2×3.14}=50Hz$