Chapter 26: Q. 28 (page 738)

What is the equivalent capacitance of the three capacitors in Figure $E x 26.28$ ?

Short Answer

Expert verified

The equivalent capacitance of the three capacitors is $25 μ F$ .

Step by step solution

Given information

We need to find that the equivalent capacitance of three capacitors.

Capacitance of capacitor

The capacitance of the capacitors with capacitance $20 μ F$ and $30 μ F$ connected in parallel will be given as

$c_{12} = \frac{1}{\frac{1}{C_{1}} + \frac{1}{C_{2}}} = \frac{1}{\frac{C_{1} + C_{2}}{C_{1} C_{2}}} = \frac{C_{1} C_{2}}{C_{1} + C_{2}}$

Putting the values we get

$C_{12} = \frac{2 \cdot 10^{- 5} \cdot 3 \cdot 10^{- 5}}{5 \cdot 10^{- s}} = 12 μ F$

Now, the capacitance of the circuit is the capacitance of $C_{12}$ in parallel with $C_{3} = 13 μ F$ . That will be

$C = C_{12} + C_{3} = 12 + 13 = 25 μ F$

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

What is the equivalent capacitance of the three capacitors in Figure $E x 26.28$ ?

Short Answer

Step by step solution

Given information

Capacitance of capacitor

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Dynamics

Wave Optics

Waves Physics

Scientific Method Physics

Geometrical and Physical Optics

Kinematics Physics

Study anywhere. Anytime. Across all devices.

What is the equivalent capacitance of the three capacitors in Figure Ex26.28?

Short Answer

Step by step solution

Given information

Capacitance of capacitor

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Dynamics

Wave Optics

Waves Physics

Scientific Method Physics

Geometrical and Physical Optics

Kinematics Physics

Study anywhere. Anytime. Across all devices.

What is the equivalent capacitance of the three capacitors in Figure $E x 26.28$ ?