Does the capacitance change as voltage increases in a circuit?

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SUMMARY

The capacitance in a circuit does not change as voltage increases, provided the voltage does not reach the breakdown voltage. This conclusion is based on the formula for capacitance, C = (ε₀ * A) / d, which indicates that capacitance is determined by the physical characteristics of the capacitor, specifically the area of the plates (A) and the distance between them (d). As voltage (V) increases, the charge (Q) on the plates increases proportionally, but this does not affect the capacitance value itself.

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Homework Statement



As the voltage in the circuit shown below is increased (but not to the breakdown voltage), the capacitance

6-8.gif



a. increases.

b. decreases.

c. does not change.

d. increases, decreases, or does not change, depending on the charge on the plates of the capacitor.

e. does none of these.


Homework Equations



C = Q/V or C = (epsilon_0*A)/(d)

The Attempt at a Solution



If the voltage increases at a specific rate, then the charge would also increase since Q and V are directly proportional and the ratio between the two is a constant. Therefore, the capacitance does not change?

Thanks.
 
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The capacitance should remain the same as it is a function of geometry and the material between the plates.

C = (epsilon * A) /d
 

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