Two capacitors, C1=5.00 μF and C2=12.0 μF, are connected in parallel, and the resulting combinat

Name: Problem 38, Chapter 16: College Physics
Uploaded: 2019-10-20T23:12:42-08:00
Duration: 2 min 43 s
Channel: Ben Nicholson
Description: Two capacitors, C1=5.00 μF and C2=12.0 μF, are connected in parallel, and the resulting combination is connected to a 9.00-V battery. Find (a) the equivalent capacitance of the combination, (b) the potential difference across each capacitor, and (c) the charge stored on each capacitor.

step 1 16 .38. So we have two capacitors, one is 5 microferds and the other is 12. They're put in paral

Question

Two capacitors, $C_{1}=5.00 \mu \mathrm{F}$ and $C_{2}=12.0 \mu \mathrm{F},$ are connected in parallel, and the resulting combination is connected to a $9.00-\mathrm{V}$ battery. Find (a) the equivalent capacitance of the combination, (b) the potential difference across each capacitor, and (c) the charge stored on each capacitor.

   Two capacitors, $C_{1}=5.00 \mu \mathrm{F}$ and $C_{2}=12.0 \mu \mathrm{F},$ are connected in parallel, and the resulting combination is connected to a $9.00-\mathrm{V}$ battery. Find (a) the equivalent capacitance of the combination, (b) the potential difference across each capacitor, and (c) the charge stored on each capacitor.

College Physics

Raymond A. Serway,… 11th Edition

Chapter 16, Problem 38

Instant Answer

Solved by Expert Ben Nicholson

10/20/2019

Step 1

Therefore, we have \[C_{eq} = C_{1} + C_{2} = 5.00 \mu F + 12.0 \mu F = 17.0 \mu F.\] Show more…

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Two capacitors, $C_{1}=5.00 \mu \mathrm{F}$ and $C_{2}=12.0 \mu \mathrm{F},$ are connected in parallel, and the resulting combination is connected to a $9.00-\mathrm{V}$ battery. Find (a) the equivalent capacitance of the combination, (b) the potential difference across each capacitor, and (c) the charge stored on each capacitor.

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Key Concepts

Equivalent Capacitance Calculation

The equivalent capacitance of capacitors connected in parallel is found by simply adding the capacitances together. This sum represents the total charge storage capability of the network when subjected to an applied voltage.

Charge Storage in a Capacitor

The relationship between the charge stored in a capacitor, its capacitance, and the applied voltage is given by the equation Q = CV. This fundamental formula allows the calculation of stored charge once the capacitance and voltage are known.

Parallel Combination of Capacitors

In a parallel circuit, all components are connected across the same voltage source, meaning each capacitor in a parallel configuration experiences the same potential difference. This arrangement simplifies voltage calculations since the voltage across each capacitor is identical to the battery voltage.

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