
DC Series Circuits
Presentation
•
Physics
•
11th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
6 Slides • 1 Question
1
DC Circuits Containing Resistors and Capacitors
By Rachel Wampler
2
Capacitors
Shown is a circuit with a capacitor, resistor, and battery
Initially capacitor is uncharged
when battery connected current flows to charge capacitor
As the charge builds up, there is increased resistance because of the repulsion of the charges on the parallel plates
When capacitor is fully charged, no current will flow.
Current no longer flows because the parallel plates aren't connected and can't accept anymore charge.
3
Formulas: Loop Rule
4
Formulas: Charging a Capcitor
5
Formulas: Discharging a Capacitor
6
Capacitor Applications
Camera flashes work by charging a capacitor with a battery
Usually has a large time constant because batteries cannot produce charge very fast
The capacitor is then discharged through the flashbulb circuit with a short time constant
7
Multiple Choice
An uncharged capacitor and resistor care connected in series to a battery.
If V = 12 V , C = 5 μF, and R = 8x105 Ω. Find the time constant, max charge, max current, and charge as a function of time.
𝜏 = 8 s
Q = 60 μC
I = 30 μA
q(t) = 60 (1-e-t/4) μC
𝜏 = 4 s
Q = 120 μC
I = 15 μA
I(t) = 15e-t/4μ
𝜏 = 8 s
Q = 120 μC
I = 30 μA
I(t) = 15e-t/4μ
𝜏 = 4 s
Q = 60 μC
I = 15 μA
q(t) = 60 (1-e-t/4) μC
DC Circuits Containing Resistors and Capacitors
By Rachel Wampler
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