A 100 , Omega resistance,a 0.1 , mu text{F} c | vedclass

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(D) Given:Resistance $R = 100 \, \Omega$Capacitance $C = 0.1 \, \mu 	ext{F} = 0.1 	imes 10^{-6} \, 	ext{F} = 10^{-7} \, 	ext{F}$Resonant frequency

Vedclass · Accepted Answer

$70.3$

Vedclass · Answer

(D) Given:Resistance $R = 100 \, \Omega$Capacitance $C = 0.1 \, \mu 	ext{F} = 0.1 	imes 10^{-6} \, 	ext{F} = 10^{-7} \, 	ext{F}$Resonant frequency $f_0 = 60 \, 	ext{Hz}$At resonance,the inductive reactance equals the capacitive reactance:$X_L = X_C$$2 \pi f_0 L = \frac{1}{2 \pi f_0 C}$Rearranging for inductance $L$:$L = \frac{1}{4 \pi^2 f_0^2 C}$Substituting the values:$L = \frac{1}{4 	imes (3.14)^2 	imes (60)^2 	imes 10^{-7}}$$L = \frac{1}{4 	imes 9.8596 	imes 3600 	imes 10^{-7}}$$L = \frac{1}{141978.24 	imes 10^{-7}}$$L = \frac{1}{0.0141978}$$L \approx 70.43 \, 	ext{H}$Rounding to the nearest provided option,the correct value is $70.3 \, 	ext{H}$.

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