Capacitors in Circuits

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Discussion

introduction

series

QT	=	Q1	=	Q2	=	Q3	=	…
VT	=	V1	+	V2	+	V3	+	…
QT	=	Q1	+	Q2	+	Q3	+	…
CT		C1		C2		C3
1	=	1	+	1	+	1	+	…
CT		C1		C2		C3

parallel

VT	=	V1	=	V2	=	V3	=	…
QT	=	Q1	+	Q2	+	Q3	+	…
CTVT	=	C1V1	+	C2V2	+	C3V3	+	…
CT	=	C1	+	C2	+	C3	+	…

Summary

• bullet

Problems

practice

1. Write something.
   • Answer it.
2. Write something.
   • Answer it.
3. Write something.
   • Answer it.
4. Write something completely different.
   • Answer it.

numerical

1. In the circuit shown below, a 12 V battery is connected to two resistors and two capacitors. The resistors and the capacitors were chosen so that points A and B are at the same potential.
   Determine …
   1. the potential drop across the 1 Ω resistor
   2. the potential drop across the 3 Ω resistor
   3. the current through the 1 Ω resistor
   4. the current through the 3 Ω resistor
   5. the potential drop across the 1 μF capacitor
   6. the potential drop across the unknown capacitor
   7. the charge stored in the 1 μF capacitor
   8. the charge stored in the unknown capacitor
   9. the capacitance of the unknown capacitor

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