Consider a series RC circuit as in the figure below for which R = 4.00 M?, C = 8
ID: 1280514 • Letter: C
Question
Consider a series RC circuit as in the figure below for which R = 4.00 M?, C = 8.00 F, and ? = 32.0 V.
(a) Find the time constant of the circuit.
32 s
(b) What is the maximum charge on the capacitor after the switch is thrown closed?
256 C
(c) Find the current in the resistor 10.0 s after the switch is closed.
_______? A
I got the first two parts right. Can't figure out the third part. Please help and explain thanks!
Consider a series RC circuit as in the figure below for which R = 4.00 M?, C = 8.00 ½F, and ? = 32.0 V. (a) Find the time constant of the circuit. 32 s (b) What is the maximum charge on the capacitor after the switch is thrown closed? 256 ½C (c) Find the current in the resistor 10.0 s after the switch is closed. _______? ½A I got the first two parts right. Can't figure out the third part. Please help and explain thanks!Explanation / Answer
The charge at any instant of time after the closure of the switch is given by
Q = CV{1 - e^(- t / RC)} = Qo{1 - e^(- t / RC)} ----------- (1)
The current at any instant of time after the closure of the switch is given by
I = (V / R) e^(- t / RC) = Io e^(- t / RC) ---------- (2)
R = 4.00 M? = 4.00 * 10^6 ?
C = 8.00