Calculate the equivalent capacitance in the network

In summary, the task is to calculate the equivalence capacitance of a network consisting of four capacitors (C1 = 8.55 μF, C2 = 4.00μF, C3 = 8.65 μF, C4 = 3.20 μF). The formula for calculating capacitance in parallel is C = C1 + C2 + ... + Cn and for series is 1/C = 1/C1 + 1/C2 + ... + 1/Cn. Using these formulas, it can be determined that C1 and C2 are in series and parallel to C3, while C4 is parallel to C3. The resulting formula for the equivalence capacitance is
  • #1
Bishop556
37
4

Homework Statement



Calculate the equivalence capacitance of the network; where C1 = 8.55 μF, C2 = 4.00μF ,
C3 = 8.65 μF, C4 = 3.20 μF


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Homework Equations



Capacitane in parallel: C = C1 + C2 + ... Cn
Capacitance in series: 1/C = 1/C1 + 1/C2 + .. 1/Cn

The Attempt at a Solution



I believe that C1 and C2 are in series and are parallel to C3. Also, C4 is parallel to C3, so the formula for the equivalence capacitance would be:

C = C1C2/(C1+C2) + C3 +C4
 
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  • #2
Bishop556 said:
I believe that C1 and C2 are in series and are parallel to C3.
I see a circuit that involves C1 and nothing else.
 

1. How do you calculate the equivalent capacitance in a network?

The equivalent capacitance in a network is calculated by finding the sum of all the individual capacitances in the network. This can be done by using the formula 1/Ceq = 1/C1 + 1/C2 + 1/C3 + ... + 1/Cn, where Ceq is the equivalent capacitance and C1, C2, C3, etc. are the individual capacitances.

2. What is the purpose of calculating the equivalent capacitance in a network?

The equivalent capacitance in a network is used to simplify the circuit and make it easier to analyze. It also helps in determining the overall capacitance in a circuit and how it affects the flow of current.

3. Can the equivalent capacitance in a network be negative?

No, the equivalent capacitance in a network cannot be negative. Capacitance is a physical quantity that represents the ability of a capacitor to store electric charge, and it cannot have a negative value.

4. What factors can affect the equivalent capacitance in a network?

The equivalent capacitance in a network can be affected by the physical arrangement of the capacitors, the dielectric material used, and the distance between the plates of the capacitors. It can also be affected by the frequency and voltage of the input signal.

5. How does the equivalent capacitance in a network impact the overall performance of a circuit?

The equivalent capacitance in a network affects the overall performance of a circuit by changing the time constant of the circuit, which in turn affects the charging and discharging of the capacitors. It also determines the amount of energy that can be stored in the circuit and the frequency response of the circuit.

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