Find the voltage across the various elements, i.e., resistance, capacitance and inductance which are in series and having values $1000\Omega$, $1\mu F$ and $2.0H$, respectively. Given emf is $V=100\sqrt{2} \sin 1000t volt$ .

The rms value of voltage across the source,

$V_{rms}=\frac{100\sqrt{2}}{\sqrt{2}}=100 V$

And, $\omega =1000 rad/s$.

Therefore, 

$\begin{array}{rcl}{i}_{rms}& =& \frac{V_{rms}}{\left|Z\right|}=\frac{V_{rms}}{\sqrt{R^2+{(X_L~X_C)}^2}}=\frac{V_{rms}}{\sqrt{R^2+{\left(\omega L-{\displaystyle \frac{1}{\omega C}}\right)}^2}}\\ & =& \frac{100}{\sqrt{{\left(1000\right)}^2+{\left(1000\times 2-{\displaystyle \frac{1}{1000\times 1\times {10}^{-6}}}\right)}^2}}\\ & =& 0.0707 A\end{array}$

The current will be same everywhere in the circuit, therefore,

PD across resistor, $V_R=i_{rms}R=0.0707\times 1000=70.7V$

PD across inductor, $V_L=i_{rms}{X}_L=0.0707\times 1000\times 2=141.4 V$ and

PD across capacitor, $V_C=i_{rms}{X}_C=0.0707\times \frac{1}{1000\times 1\times {10}^{-6}}=70.7 V$ .