A resistor (R = 20.0 kQ), a capacitor (C = 125 µF), a battery (EMF = 175 V), and a switch are all in series. The capacitor is initially uncharged. At time t = 0 s, the switch is closed. (a) What is...

Extracted text: A resistor (R = 20.0 kQ), a capacitor (C = 125 µF), a battery (EMF = 175 V), and a switch are all in series. The capacitor is initially uncharged. At time t = 0 s, the switch is closed. (a) What is the initial current through the circuit? (b) What is the maximum charge on the capacitor? (c) What is the time constant of the circuit? (d) Write the equation for the charge as a function of time for this circuit, using the values you calculated. (e) Write the equation for the current as a function of time for this circuit, using the values you calculated.