Two capacitors when connected in parallel give an equivalent...

Name: Problem 19, Chapter 26: Physics for Scientists and Engineers
Uploaded: 2019-10-20T23:18:32-08:00
Duration: 3 min 57 s
Channel: Ben Nicholson
Description: Two capacitors when connected in parallel give an equivalent capacitance of 9.00 pF and give an equivalent capacitance of 2.00 pF when connected in series. What is the capacitance of each capacitor?

Two capacitors when connected in parallel give an equivalent capacitance of $9.00 \mathrm{pF}$ and give an equivalent capacitance of $2.00 \mathrm{pF}$ when connected in series. What is the capacitance of each capacitor?

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Key Concepts

Capacitors in Parallel

When capacitors are connected in parallel, their individual capacitances add directly to form the total capacitance. This means that the overall capacitance is increased by simply summing each capacitor's value, making this configuration useful when a high capacitance is desired without affecting the voltage rating.

Capacitors in Series

In a series configuration, the total capacitance is determined by the reciprocal of the sum of the reciprocals of each capacitor's value. This arrangement generally results in a lower overall capacitance and is applicable when voltage division is needed or when the circuit design requires a specific reduced capacitance.

Simultaneous Equations

Solving for individual capacitor values from given series and parallel combined capacitances typically involves setting up and solving simultaneous equations based on the standard formulas for capacitor combinations. This method is essential for determining unknown parameters in electrical circuits.

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