The impedance of the given circuit is......$\Omega $

$A$ series $LCR$ circuit containing a resistance of $120 \, \Omega$ has an angular resonance frequency of $4 \times 10^3 \, rad \, s^{-1}.$ At resonance, the voltages across the resistance and the inductance are $60 \, V$ and $40 \, V$ respectively. The values of $L$ and $C$ are respectively:

The value of the alternating emf in the given series $LCR$ circuit is: (in $V$)

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).

When a capacitor is connected in series with an $LR$ circuit,the alternating current flowing in the circuit

$A$ 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 $\text{ A}$)