A resistor $\mathrm{R}=100\mathrm{\Omega }$ is connected in series with a capacitor. A source of supply voltage$e=100\cos 100\mathrm{\pi t}\mathrm{volt}$  is connected across the combination. If the current through the circuit is $\mathrm{i}=4\sqrt{2}\cos \left(100\mathrm{\pi t}+\frac{\mathrm{\pi }}{4}\right)$A the value of capacitance is

• A

  $\frac{100}{\mathrm{\pi }}\mathrm{\mu F}$

• B

  $\frac{50}{\mathrm{\pi }}\mathrm{\mu F}$

• C

  $\frac{1}{\mathrm{\pi }}\mathrm{\mu F}$

• D

  $\frac{10}{\mathrm{\pi }}\mathrm{\mu F}$