First slide

Electrical Resonance series circuit

Question

fig shows a series L-C-R circuit connected to a variable frequency and 200 V source. What is the source frequency which drives the circuit at resonance ?

Easy

A

50 z
B

$(50 / π) Hz$
C

25 Hz
D

$(25 / π) Hz$

Solution

The resonant frequency n is given by
$\begin{array}{l} n = \frac{1}{2 π \sqrt{LC}} \\ = \frac{1}{2 π \sqrt{5 \times (80 \times 10^{- 6})}} = \frac{50}{2 π} = \frac{25}{π} Hz \end{array}$

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