In the circuit shown in the figure,the $AC$ source provides a voltage $V = 20 \cos(2000t)$. Neglecting source resistance,the voltmeter and ammeter readings will be:

In an $LCR$ series circuit $R=10 \,\Omega, X_L=8 \,\Omega$ and $X_C=6 \,\Omega$. The total impedance of the circuit is ........ $\Omega$.

In an a.c. circuit containing $L, C$ and $R$ in series,the ratio of apparent power to the true power is ($Z$ and $R$ are the impedance and resistance respectively,$\phi$ = phase angle).

$A$ resistor of resistance $30 \Omega$, an inductor of reactance $10 \Omega$, and a capacitor of reactance $10 \Omega$ are connected in series to an $AC$ voltage source $V = 300 \sqrt{2} \sin(\omega t)$. The current in the circuit is . . . . . . (in $\text{ A}$)

$A$ circuit containing an $80 \; mH$ inductor,a resistance of $15 \; \Omega$,and a $60 \; \mu F$ capacitor in series is connected to a $230 \; V, 50 \; Hz$ supply. Obtain the average power transferred to each element of the circuit,and the total power absorbed.

In the given circuit,the magnitudes of $V_{L}$ and $V_{C}$ are twice that of $V_{R}$. Given that $f=50\,Hz$ and $R=5\,\Omega$,the inductance of the coil is $\frac{1}{K\pi}\,mH$. The value of $K$ is: