Which of the following curves correctly represents the variation of capacitive reactance $X_C$ with frequency $f$?

An $AC$ source is connected to a purely resistive circuit. Which of the following is true?

$A$ lamp is connected in series with a capacitor. Predict your observations for $dc$ and $ac$ connections. What happens in each case if the capacitance of the capacitor is reduced?

The coil of inductance $0.25 mH$ has a reactance of $330 \Omega$,when connected to an a.c. source. The frequency of the a.c. source is (Take $\pi = \frac{22}{7}$) (in $kHz$)

$A$ series $LCR$ circuit is subjected to an $AC$ signal of $200 \,V, 50 \,Hz$. If the voltage across the inductor $(L=10 \,mH)$ is $31.4 \,V$,then the current in this circuit is $\qquad$

In an $AC$-circuit containing only capacitance,the current