A circuit consists of a resistor with a resistance of 1.00 MN, a capacitor with a capacitance C = 5.00F, a battery with ems e = 30.0 V and a switch that is initially open. All of these four components are part of a series connection. Assume that the switch closes at time t = 0. a) Determine the time constant for the circuit. b) Determine the current through the resistor 10.0 s after the switch is closed. c) How long does it take before the capacitor is charged to 80% of the maximum charge it is able to store?