First slide

Electrical Resonance series circuit

Question

Figure shows a series LCR circuit connected to a variable frequency 200V source. L = 5H, C = 80 µF and R = 40 Ω. What is the source frequency which drives the circuit at resonance?

Moderate

A

25Hz
B

$\frac{{25}}{\pi }Hz$
C

50Hz
D

$\frac{{50}}{\pi }Hz$

Solution

$ω_{0} = \frac{1}{\sqrt{L C}} = \frac{1}{2 \times 10^{- 2}}$
$or\,,\,\,\,\,f = \frac{{25}}{\pi }Hz$

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