Consider a pure inductive $A$.$C$. circuit as shown in the figure. If the average power consumed is $P$, then

Keeping the source frequency equal to the resonating frequency of the series $LCR$ circuit,if the three elements,$L, C$ and $R$ are arranged in parallel,show that the total current in the parallel $LCR$ circuit is minimum at this frequency. Obtain the $rms$ current value in each branch of the circuit given below.
Figure shows a series $LCR$ circuit connected to a variable frequency $230\; V$ source. $L=5.0\; H, C=80\; \mu F, R=40\; \Omega$.

The voltage across a pure inductor is represented by the following diagram. Which of the following diagrams will represent the current?

An alternating voltage $E = 100 \sqrt{2} \sin(50 t)$ is connected to a $2 \mu F$ capacitor through an a.c. ammeter. The ammeter reading will be (in $\text{ mA}$)

Which of the following graphs represents the variation of inductive reactance $(X_{L})$ with the frequency of the voltage source $(\nu)$?

The reactance of an inductor at $50 \, Hz$ is $10 \, \Omega$. The reactance of it at $200 \, Hz$ is