The reactance of a capacitor is X_{C}. If the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The capacitive reactance $X_{C}$ is given by the formula $X_{C} = \frac{1}{2 \pi f C}$,where $f$ is the frequency and $C$ is the capacitance.Let t

Vedclass · Accepted Answer

$X_{C}/4$

Vedclass · Answer

(C) The capacitive reactance $X_{C}$ is given by the formula $X_{C} = \frac{1}{2 \pi f C}$,where $f$ is the frequency and $C$ is the capacitance.Let the initial reactance be $X_{C} = \frac{1}{2 \pi f C}$.When the frequency $f$ is doubled $(f' = 2f)$ and the capacitance $C$ is doubled $(C' = 2C)$,the new reactance $X_{C}'$ is given by:$X_{C}' = \frac{1}{2 \pi f' C'} = \frac{1}{2 \pi (2f) (2C)}$.$X_{C}' = \frac{1}{4 (2 \pi f C)} = \frac{1}{4} X_{C}$.Therefore,the new reactance is $\frac{X_{C}}{4}$.

The reactance of a capacitor is $X_{C}$. If the frequency and the capacitance are doubled,then the new reactance will be

Similar Questions

In a choke coil,the reactance $X_L$ and resistance $R$ are such that

Capacitive reactance of a capacitor in an $AC$ circuit is $6 \ k\Omega$. If the same capacitor is connected to an $AC$ source of double the frequency,the capacitive reactance will become

In the case of an inductor,

The reactance of a $25\,\mu F$ capacitor at the ac frequency of $4000\, Hz$ is

Average power associated with an ideal inductor and ideal capacitor over a complete cycle of $a.c.$ is respectively

Vedclass Test Series

Exam Paper Generator

Online Exam Module