A capacitor of capacitance C = 6.5 muF is initially uncharged. It is connected in series with a switch of negligible resistance, a resistor of resistance R = 9.5 K Omega, and a battery which provides a potential difference of VB = 65 V.
C = 6.5 ?F
R = 9.5 k?
VB = 65 V
Part (a) Calculate the time constant \tau for the circuit in seconds.
Part (b) After a very long time after the switch has been closed, what is the voltage drop VC across the capacitor in terms of VB?
Part (c) Calculate the charge Q on the capacitor a very long time after the switch has been closed in C.
Part (d) Calculate the current I a very long time after the switch has been closed in A.
Part (e) Calculate the time t after which the current through the resistor is one-third of its maximum value in s.
Part (f) Calculate the charge Q on the capacitor when the current in the resistor equals one third its maximum value in C.