Chapter 26: Q. 25 (page 738)

A $6 m F$ capacitor, a $10 m F$ capacitor, and a $16 m F$ capacitor are connected in series. What is their equivalent capacitance?

Short Answer

Expert verified

The capacitance is $3 μ F$ .

Step by step solution

Given information

We have given that $A 6 m F$ capacitor, a $10 m F$ capacitor, and a $16 m F$ capacitor are connected in series.

We need to find that their equivalent capacitance.

Simplify

Let $C_{1} = 6 m u f$ , $C_{2} = 16 μ F$ , and $C_{3} = 16 μ F$ . The capacity of a set of capacitors connected in series satisfies

$\frac{1}{C} = \frac{1}{C_{1}} + \frac{1}{C_{2}} + \frac{1}{C_{3}}$ .

By further solving,

$\frac{1}{C} = \frac{C_{1} C_{2} + C_{2} C_{3} + C_{1} C_{3}}{C_{1} C_{2} C_{3}}$ '

$C = \frac{C_{1} C_{2} C_{3}}{C_{1} C_{2} + C_{2} C_{3} + C_{1} C_{3}}$

Substituting the given values we find the following

$C = 3 μ F$ .

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A $6 m F$ capacitor, a $10 m F$ capacitor, and a $16 m F$ capacitor are connected in series. What is their equivalent capacitance?

Short Answer

Step by step solution

Given information

Simplify

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A 6mFcapacitor, a 10mFcapacitor, and a 16mFcapacitor are connected in series. What is their equivalent capacitance?

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

Circular Motion and Gravitation

Modern Physics

Rotational Dynamics

Oscillations

Fluids

Mechanics and Materials

Study anywhere. Anytime. Across all devices.

A $6 m F$ capacitor, a $10 m F$ capacitor, and a $16 m F$ capacitor are connected in series. What is their equivalent capacitance?