A capacitor of capacitance C = 4.5 µF is initially uncharged. It is connected in series with a switch of negligible resistance, a resistor of resistance R =10.5 kΩ, and a battery which provides a potential difference of VB = 160 Volt.
Part (a) Immediately after the switch is closed, find what is the voltage drop VC across the capacitor?
Part (b) Immediately after the switch is closed, find what is the voltage drop VR across the resistor in terms of VB?
Part (c) Immediately after the switch is closed, find what is the current I through the resistor in terms of VB and R?
Part (d) Determine an expression for the time t1/2 after the switch is closed when the current in the resistor equals half its maximum value.
Part (e) Determine an expression for the time t1/2 after the switch is closed when the current in the resistor equals half its maximum value.