At 42Hz, an inductor has impedence 36 times that of impedence of a capacitor. Find resonance frequency of the circuit.
A
4 Hz
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B
5 Hz
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C
6 Hz
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D
7 Hz
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Solution
The correct option is D 7 Hz XL=ωLXC=1ωC} XL=36XC at f = 42 Hz. 2πfL=36.12πfC f2=364π2LC f=62π√LC=6×fo
where f0=1√LC is the resonance frequency. ⇒f0=f6=42/6=7Hz