Q. 58 What are the charge on and the p... [FREE SOLUTION]

Chapter 26: Q. 58 (page 740)

What are the charge on and the potential difference across each capacitor in FIGURE $P 26.58$ ?

Short Answer

Expert verified

The charge on each capacitor is $q_{1} = 45 渭 C, q_{2} = q_{3} = 21.6 渭 C$ respectively, and the potential difference across each capacitor is $U_{1} = 9 v, U_{2} = 5.4 v, U_{3} = 3.6 v$ respectively.

Step by step solution

Given information

We need to find the charge on and the potential difference across each capacitor.

Simplify

The potential difference on the first capacitor is $鈭� V_{1} = 9 V$ . And the charge will be

$q_{1} = C_{1} 鈭� V = 5 路 10^{- 6} 路 9 = 45 渭 C$

As for the two other capacitors, their common capacitance will be

$C_{23} = \frac{C_{2} C_{3}}{C_{2} + C_{3}} = \frac{24 路 10^{- 12}}{10 路 10^{- 6}} = 2.4 渭 C$

From that, the charge on both capacitors will be

$q_{2} = q_{3} = C_{23} 鈭� V_{3} 鈬� 鈭� V_{3} = \frac{C_{2}}{C_{3}} 鈭� V_{3}$

So, now

$U_{3} = \frac{2}{3} U_{2}$

and

$U_{2} + U_{3} = 9$

Therefore, the solution will be

$U_{2} = 5.4 V U_{3} = 3.6 V$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

What are the charge on and the potential difference across each capacitor in FIGURE $P 26.58$ ?

Short Answer

Step by step solution

Given information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Kinematics Physics

Nuclear Physics

Electrostatics

Medical Physics

Magnetism

Conservation of Energy and Momentum

Study anywhere. Anytime. Across all devices.

91影视

What are the charge on and the potential difference across each capacitor in FIGURE P26.58?

Short Answer

Step by step solution

Given information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Kinematics Physics

Nuclear Physics

Electrostatics

Medical Physics

Magnetism

Conservation of Energy and Momentum

Study anywhere. Anytime. Across all devices.

What are the charge on and the potential difference across each capacitor in FIGURE $P 26.58$ ?