A series RC circuit has a resistance of 0.5 kΩ and a capacitance of 500 μF and a steady voltage of 10 V is connected to the circuit. Determine (a) the time constant τ of the circuit, (b) the voltage...

A series RC circuit has a resistance of 0.5 kΩ and a capacitance of 500 μF and a steady voltage of 10 V is connected to the circuit. Determine (a) the time constant τ of the circuit, (b) the voltage across the capacitor after 0.25 s, (c) the voltage across the capacitor after 0.5 s.