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

Name: Problem 16, Chapter 26: Physics for Scientists and Engineers with Modern Physics
Uploaded: 2020-09-14T05:42:51-08:00
Duration: 47 s
Channel: Mayukh Banik
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. (a) What is the equivalent capacitance of the combination? What are (b) the potential difference across each capacitor and (c) the charge stored on each capacitor?

step 1 Now C equivalent equals C1 plus C2 equals 5 plus 12 equals 17 micro -fadad Delta V is the same a

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. (a) What is the equivalent capacitance of the combination? What are (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. (a) What is the equivalent capacitance of the combination? What are (b) the potential difference across each capacitor and (c) the charge stored on each capacitor?

Physics for Scientists and Engineers with Modern Physics

Paul Tipler, Gene… 6th Edition

Chapter 26, Problem 16

Instant Answer

Solved by Expert Mayukh Banik

09/14/2020

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. (a) What is the equivalent capacitance of the combination? What are (b) the potential difference across each capacitor and (c) the charge stored on each capacitor?

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Key Concepts

Capacitors in Parallel

For capacitors connected in parallel, the equivalent capacitance is the sum of the individual capacitances. This is because each capacitor provides an independent path for the charge to accumulate, and the overall ability of the circuit to store charge increases with additional capacitors connected in parallel.

Voltage Distribution in Parallel Circuits

In a parallel circuit, every component experiences the same voltage across it. This means that when capacitors are connected in parallel to a battery, the voltage across each capacitor is equal to the battery voltage regardless of the individual capacitance values.

Charge Storage on a Capacitor

The amount of charge stored on a capacitor is given by the relation Q = C × V, where Q is the charge, C is the capacitance, and V is the voltage across the capacitor. This formula is fundamental in understanding how different capacitors store varying amounts of charge when connected to the same voltage.

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