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Alternating Current

Question

An L.C. circuit is in the state of resonance. If C = 0.1F and L = 0.25 Henry. Neglecting ohmic resistance of circuit. What is the frequency of oscillations?

1007 Hz

100 Hz

100 Hz

500 Hz

Solution

1007 Hz

From the formula the frequency of oscillation is

$f = \frac{1}{2 π \sqrt{LC}} = \frac{1}{2 π \sqrt{0.25 \times 0.1 \times 10^{- 6}}} f = 1007 Hz$