In the circuit given below,the current through the inductor is $0.6 \,A$ and through the capacitor is $0.9 \,A$. The current drawn from the a.c. source is (in $\,A$)

An inductance coil has a reactance of $100\, \Omega$. When an $AC$ signal of frequency $1000\, Hz$ is applied to the coil,the applied voltage leads the current by $45^{\circ}$. The self-inductance of the coil is

$A$ series $R-C$ circuit is connected to an $AC$ voltage source. Consider two cases: $(A)$ when $C$ is without a dielectric medium and $(B)$ when $C$ is filled with a dielectric of constant $K = 4$. The current $I_R$ through the resistor and voltage $V_C$ across the capacitor are compared in the two cases. Which of the following statements is/are true?
$(A)$ $I_R^A > I_R^B$
$(B)$ $I_R^B > I_R^A$
$(C)$ $V_C^A > V_C^B$
$(D)$ $V_C^B > V_C^A$

In a $L-R$ circuit of $4 \text{ mH}$ inductance and $3 \text{ } \Omega$ resistance, e.m.f. $E = \cos(1000t) \text{ V}$ is applied. The amplitude of current is (in $\text{ A}$)

The variation of impedance $Z$ of a series $\text{LCR}$ circuit with the frequency $f$ of the source is shown in the figure. Which of the following statement$(s)$ is/are true?

$A$ light bulb and an inductor coil are connected to an $AC$ source through a key as shown in the figure below. The key is closed and after some time an iron rod is inserted into the interior of the inductor. The glow of the light bulb