(B) The capacitive reactance $X_C$ is given by the formula: $X_C = \frac{1}{2 \pi f C}$.From this,we can see that $X_C \propto \frac{1}{f}$.Given init

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(B) The capacitive reactance $X_C$ is given by the formula: $X_C = \frac{1}{2 \pi f C}$.From this,we can see that $X_C \propto \frac{1}{f}$.Given initial frequency $f_1 = 50 \ Hz$ and initial reactance $X_{C1} = 5 \ \Omega$.New frequency $f_2 = 100 \ Hz$.Since $f_2 = 2 f_1$,the new reactance $X_{C2}$ will be:$X_{C2} = \frac{X_{C1}}{2} = \frac{5 \ \Omega}{2} = 2.5 \ \Omega$.

Class 12 Physics Alternating Current Only Inductor, Only Capacitor and Only Resistor Circuit

Medium

The reactance of a capacitor at $50 \ Hz$ is $5 \ \Omega$. If the frequency is increased to $100 \ Hz$,the new reactance is (in $\Omega$)

MHT CET 2023 All MHT CET

A
$5$
B
$2.5$
C
$10$
D
$125$

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Alternating Current

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Only Inductor, Only Capacitor and Only Resistor Circuit

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The reactance of a capacitor at $50 \ Hz$ is $5 \ \Omega$. If the frequency is increased to $100 \ Hz$,the new reactance is (in $\Omega$)

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