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

Let $f = 50\, Hz$ and $C = 100\, \mu F$ in an $AC$ circuit containing a capacitor only. If the peak value of the current in the circuit is $1.57\, A$,the expression for the instantaneous voltage across the capacitor will be (assuming current is $I = I_m \sin(\omega t)$):

An alternating voltage of $22 \, V$ is applied across an inductance coil of reactance $11 \, \Omega$. If the inductance of the coil is $0.07 \, H$, the frequency of the alternating voltage is: (in $ \, Hz$)

$A$ coil has an inductance of $3 \ H$. The ratio of its reactance when it is first connected to an a.c. source and then to a d.c. source is:

The value of the current through an inductance of $1 \, H$ and of negligible resistance,when connected to an $ac$ source of $200 \, V$ and $50 \, Hz$ is: (in $, A$)

Explain $AC$ voltage applied to a resistor and explain it with a necessary graph.