A resistance of $100\ \Omega$, inductor of self-inductance $\left(\dfrac{4}{\pi^2}\right)\ \text{H}$ and a capacitor of unknown capacitance are connected in series to an a.c. source of $200\ \text{V}$ and $50\ \text{Hz}$. When the current and voltage are in phase, the capacitance and power dissipated respectively are