Capacitors cannot always be combined into one capacitor in one step. Usually one needs to combine capacitors in multiple steps. Four capacitors are connected to a 30 Volt EMF as shown with C₁ = 6 μF, C₂ = 2 μF, C₂ = 10 μF and C₁ = 4 μF. What is the charge on, and voltage drop across, each capacitor? 1. a. Start by finding the equivalent capacitance in steps. Note that C₂ and C₂ are in parallel. Combine these two capacitors into a single equivalent capacitor C₂3. Determine C₂3 and redraw the circuit with C₁, C₂, and C4- b. Now C₂₂ can be combined with C₂ and C4 into a single capacitor. 3 C₁ CA C₂ c. Since the circuit is reduced to a single capacitor connected to a single EMF, the voltage across the equivalent capacitor must be equal to the EMF. Use this and the properties of parallel and series capacitors to complete the table below. Show work. Make sure that Q = CAV for each column. C₂
Capacitors cannot always be combined into one capacitor in one step. Usually one needs to combine capacitors in multiple steps. Four capacitors are connected to a 30 Volt EMF as shown with C₁ = 6 μF, C₂ = 2 μF, C₂ = 10 μF and C₁ = 4 μF. What is the charge on, and voltage drop across, each capacitor? 1. a. Start by finding the equivalent capacitance in steps. Note that C₂ and C₂ are in parallel. Combine these two capacitors into a single equivalent capacitor C₂3. Determine C₂3 and redraw the circuit with C₁, C₂, and C4- b. Now C₂₂ can be combined with C₂ and C4 into a single capacitor. 3 C₁ CA C₂ c. Since the circuit is reduced to a single capacitor connected to a single EMF, the voltage across the equivalent capacitor must be equal to the EMF. Use this and the properties of parallel and series capacitors to complete the table below. Show work. Make sure that Q = CAV for each column. C₂
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Transcribed Image Text:Capacitors cannot always be combined into one capacitor in one
step. Usually one needs to combine capacitors in multiple steps.
1. Four capacitors are connected to a 30 Volt EMF as shown
with C₁ = 6 μF, C₂ = 2 μF, C₂ = 10 μF and C₁ = 4 µF. What is
the charge on, and voltage drop across, each capacitor?
a. Start by finding the equivalent capacitance in steps. Note that
C₂ and C₂ are in parallel. Combine these two capacitors into a
single equivalent capacitor C23. Determine C₂3 and redraw the
circuit with C₁, C2z, and C4-
C
AV
Q
b. Now C₂3 can be combined with C₁ and C₁
into a single capacitor.
C₁
C₂
c. Since the circuit is reduced to a single capacitor connected to a single EMF, the voltage across
the equivalent capacitor must be equal to the EMF. Use this and the properties of parallel and
series capacitors to complete the table below. Show work. Make sure that Q = CAV for each
column.
C₂
C₁
CA
C4
C₂
C23
C1234
Cz
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