A 480 ? resistor, an uncharged 1.3 ?F capacitor, and a battery with a 6.18 V pot
ID: 1375759 • Letter: A
Question
A 480 ? resistor, an uncharged 1.3 ?F capacitor, and a battery with a 6.18 V potential difference are connected in series.Randomized VariablesR = 480 ?
C = 1.3 ?F
?V = 6.18 V
A. What is the initial current in mA, immediately after they are connected?
B. What is RC time constant in s?
C. What is the current , one time constant after they are connected, in milliamps D. What is the voltage on the capacitor after one time constant V? A 480 ? resistor, an uncharged 1.3 ?F capacitor, and a battery with a 6.18 V potential difference are connected in series.
Randomized VariablesR = 480 ?
C = 1.3 ?F
?V = 6.18 V
A. What is the initial current in mA, immediately after they are connected?
B. What is RC time constant in s?
C. What is the current , one time constant after they are connected, in milliamps D. What is the voltage on the capacitor after one time constant V?
A. What is the initial current in mA, immediately after they are connected?
B. What is RC time constant in s?
C. What is the current , one time constant after they are connected, in milliamps D. What is the voltage on the capacitor after one time constant V?
Explanation / Answer
A. I = V / R = 6.18 / 480 = 0.0128 A = 12.8 mA
B. RC = 480 x 1.3 x 10^-6 = 6.24 x 10^-4 s
D. V = V0 [ 1 - e^(-t/Rc)]
at t = RC
V = 6.18 [ 1 - e^-1] = 3.91 V
C. I = V0 - V / R = 6.18 - 3.91 / 480 = 4.74 x 10^-3 A = 4.74 mA
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