8) The resonant frequency of a circuit point is f. If the capacitance is made 4 times the initial value , then the resonant frequency will become
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Answer:
Explanation:
given
the resonant frequency is f0
(a)L1=4L
where ,L is initial inductance of the LC circuit.
f0(new)=1/2 pie root L1 c
=1/2 pie root 4LC
=1/4 pie root L C
Hence, if the inductor is increased by the factor of 4. Then, new resonant frequency will decrease by factor of 2.
(b) if f0(new)=f0
then,
f0=1/2 root LC
=1/2 root 4*L*C/4
Hence, if the new resonant frequency changes to initial resonance frequency. Then, capacitor will decrease by factor of 4.
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