An LC circuit oscillates at a frequency of 2.50×103 Hz. What will the frequency be if the inductance is halved? 1.77×103 Hz 5.00×103 Hz 1.25×103 Hz 3.54×103 Hz
Question
Solution 1
The frequency of oscillation in an LC circuit is given by the formula:
f = 1 / (2π√(LC))
where: f is the frequency, L is the inductance, and C is the capacitance.
If the inductance is halved, the new frequency (f') will be:
f' = 1 / (2π√((L/2)C))
Simplifying this gives:
f' = 1 / (2π√(LC/2))
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