The current $I$, potential difference $V_L$ across the inductor and potential difference $V_C$ across the capacitor in circuit as shown in the figure are best represented vectorially as

In a series $\mathrm{CR}$ circuit shown in figure, the applied voltage is $10 \mathrm{V}$ and voltage across capacitor is found to be $8 \mathrm{V}$, then the voltage across $R$, and the phase difference between current and the applied voltage will respectively be

The voltage-time $\left(V-t\right)$ graph for the triangle wave has a peak value. $V_0$ is as shown in the figure:

The $\mathrm{rms}$ value of $V$ in time interval from $t=0$ to $\frac{T}{4}$ is

In the circuit shown, when $\mathrm{dc}$ of $250 \mathrm{V}$is applied, one ampere current passes though thew circuit and when an alternating voltage source of $250 \mathrm{V}$ and $2250 \mathrm{rad} {\mathrm{s}}^{-1}$ applied, current of  $1.25 \mathrm{A}$ flows. If maximum current flows through thee circuit at a frequency of $4500 \mathrm{rad} {\mathrm{s}}^{-1}$, then the value of $L$ and $C$ will be respectively

The power factor of the circuit is $\frac{1}{\sqrt{2}}$. The capacitance of the circuit is equal to