R / V o zero V o / R V o / RC (b) A very long time after the switch is closed, t

Question

R/Vozero    Vo/RVo/RC

(b) A very long time after the switch is closed, the potential difference across the capacitor will be close to

VoVo/R    1/RCzero

(c) A very long time after the switch is closed, the potential difference across the resisitor will be close to

Vo/RCzero    C/RVo

(d) A very long time after the switch is closed, the quantity of charge stored in the capacitor will be close to

Vo/RVo/C    CVozero

(e) The switch is closed at time t = 0. The graph of current (vertical axis) vs time (horizontal axis) in the circuit is

(f) The graph of potential difference across the capacitor vs time is

In the following problems write the Kirchhoff's law of voltages for each situation to help you think. (a) The initial current in this circuit (i.e., the current at the instant the switch (sw) is closed) is

Explanation / Answer

a) I = I0 [ e^(-t / RC)]

at t = 0

I = I0 = V0 / R

b) V = V0 [ 1 - e^(-t/RC) ]

for t >>> RC

V = V0

c) after long time,

I = 0

so V across R is zero.

d) Q = CV0

e) l = I0 [ e^(-t/RC) ]

third one.

f) V = V0 [ 1 - e^(-t / RC)]

1st one.

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