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PHYSICS
COMBINATION OF CAPACITORS
TEACHER: Telman Askeraliyev, MSc, Italy
INTRODUCTION
When a capacitor charges up, work must be done by an
external force (for example a battery). This increases
the potential energy stored by the capacitor. The
potential energy stored is given by the formula
Capacitors are often arranged in combination in electric
circuits. Let”s review two types of arrangements: the
parallel combination and the series combination.
PARALLEL
A collection of capacitors are said to be in parallel if they all
share the same potential difference. The following diagram
shows two capacitors wired in parallel.
FORMULA
If we want to find the capacitance of a single capacitor that
would perform the same function as this combination, and if
the capacitances are C1 and C2, then the charge on the first
capacitor is Q1 = C1ΔV and the charge on the second
capacitor is Q2 = C2ΔV. The total charge on the combination
is Q1 + Q2 , so the equivalent capacitance, CP, must be
Or Cp = C1 + C2
PARALLEL
which can be extended to more than 2 capacitors. So
the equivalent capacitance of a collection of capacitors in
parallel is found by adding the individual capacitances.
SERIES
A collection of capacitors are said to be in series if they
all share the same charge magnitude. The following
diagram shows two capacitors wired in series.
FORMULA SERIES
SERIES
which can also be extended to more than 2 capacitators. As
you can see, the reciprocal of the capacitance of a
collection of capacitors in series is found by adding the
reciprocals of the individual capacitances.
QUIZ 1
What is the equivalent capacitance of a 400.0 pF, a 200.0
pF, and a 50.0 pF capacitor connected in parallel?
QUIZ 2
Given that C1 = 2 µF, C2 = 4 µF, and C3 = 6 µF,
calculate the equivalent capacitance for the following
combination:
QUIZ 3
Two capacitors are connected in parallel in an electric
circuit. Their capacitances are 500.0 nF, and 2.00 µF.
What is the equivalent capacitance?
QUIZ 4
What is the charge on capacitor?
QUIZ 5
Find the equivalent capacitance of the
capacitors shown in the figure.
THANK YOU!

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Physics w12 l24-combination of capacitors

  • 1. PHYSICS COMBINATION OF CAPACITORS TEACHER: Telman Askeraliyev, MSc, Italy
  • 2. INTRODUCTION When a capacitor charges up, work must be done by an external force (for example a battery). This increases the potential energy stored by the capacitor. The potential energy stored is given by the formula Capacitors are often arranged in combination in electric circuits. Let”s review two types of arrangements: the parallel combination and the series combination.
  • 3. PARALLEL A collection of capacitors are said to be in parallel if they all share the same potential difference. The following diagram shows two capacitors wired in parallel.
  • 4. FORMULA If we want to find the capacitance of a single capacitor that would perform the same function as this combination, and if the capacitances are C1 and C2, then the charge on the first capacitor is Q1 = C1ΔV and the charge on the second capacitor is Q2 = C2ΔV. The total charge on the combination is Q1 + Q2 , so the equivalent capacitance, CP, must be Or Cp = C1 + C2
  • 5. PARALLEL which can be extended to more than 2 capacitors. So the equivalent capacitance of a collection of capacitors in parallel is found by adding the individual capacitances.
  • 6. SERIES A collection of capacitors are said to be in series if they all share the same charge magnitude. The following diagram shows two capacitors wired in series.
  • 8. SERIES which can also be extended to more than 2 capacitators. As you can see, the reciprocal of the capacitance of a collection of capacitors in series is found by adding the reciprocals of the individual capacitances.
  • 9. QUIZ 1 What is the equivalent capacitance of a 400.0 pF, a 200.0 pF, and a 50.0 pF capacitor connected in parallel?
  • 10. QUIZ 2 Given that C1 = 2 µF, C2 = 4 µF, and C3 = 6 µF, calculate the equivalent capacitance for the following combination:
  • 11. QUIZ 3 Two capacitors are connected in parallel in an electric circuit. Their capacitances are 500.0 nF, and 2.00 µF. What is the equivalent capacitance?
  • 12. QUIZ 4 What is the charge on capacitor?
  • 13. QUIZ 5 Find the equivalent capacitance of the capacitors shown in the figure.