Three circuit elements are connected in series to form a closed loop: an uncharged $20\mathrm{.}0-$mu F capacitor, a $100-$V DC power supply, and a $10\mathrm{.}0-$M$\Omega$ resistor. What is the maximum charge that will be stored on the capacitor? What is the initial charge on the capacitor and current through the resistor? Determine the current in the circuit and the charge on the capacitor after an interval of of one time constant.