The given graphs $\left(a\right)$and $\left(b\right)$ represent the variation of the opposition offered by the circuit element to the flow of alternating current, with frequency of the applied emf. Identify the circuit element corresponding to each graph.

 

If the input voltage $V_{\mathrm{i}}$ to the circuit below is given by $V_{\mathrm{i}}\left(t\right)=A\cos \left(2\pi ft\right)\text{,}$ the output voltage is given by $V_{\mathrm{o}}\left(t\right)=B\cos \left(2\pi ft+\varphi \right)$.

Which one of the following four graphs best depict the variation of $\varphi$ vs $f$?

The phaser diagram of the alternating voltage across an unknown device $\mathrm{X}$ and current flowing through it are shown below.

Draw the graphical variation of current and voltage with $\mathrm{\omega t}$ through this device.

An alternating voltage is given by $E=100\sin \left(\omega t+\frac{\pi }{6}\right) \mathrm{V}$. The voltage will be maximum for the first time when time is ($T=$ time period)

In the given circuit the peak voltages across $C, L$ and $R$ are $30 \mathrm{V}, 110 \mathrm{V}$ and $60 \mathrm{V}$ respectively. The rms value of the applied voltage is