Chapter 26: Q. 62 (page 740)

A battery with an emf of $60 V$ is connected to the two capacitors shown in FIGURE $P 26.62$ . Afterward, the charge on capacitor $2$ is $450 μ C$ . What is the capacitance of capacitor $2$ ?

Short Answer

Expert verified

The capacitance of capacitor $2$ is $20 μ C$ .

Step by step solution

Given information

We have given that the charge on capacitor $2$ is $450 μ F$ .

We need to find the capacitance of capacitor $2$ .

Simplify

Considering this charge will be $q$ , we have

$C_{1} U_{1} = q = C_{2} (U - U_{1})$ ,

Where we consoder $U$ be the emf of the battery, which since the capacitors are in series, leads to $U_{2} = U - U_{1}$ . Now we can express the capacity of the second capacitor as

$C_{2} = \frac{q}{U - U_{1}}$

Putting the value of $U_{1}$ expressed with the charge and emf

localid="1648642860563" $C_{2} = \frac{q}{U - \frac{q}{C_{1}}} = \frac{q}{\frac{U C_{1} - q}{C_{1}}} = \frac{q C_{1}}{U C_{1} - q}$

Using the numerical values

$C_{2} = \frac{4.5 \cdot 10^{- 4} \cdot 1.2 \cdot 10^{- 5}}{60 \cdot 1.2 \cdot 10^{- 5} - 4.5 \cdot 10^{- 4}} = 2 \cdot 10^{- 5} C$

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A battery with an emf of $60 V$ is connected to the two capacitors shown in FIGURE $P 26.62$ . Afterward, the charge on capacitor $2$ is $450 μ C$ . What is the capacitance of capacitor $2$ ?

Short Answer

Step by step solution

Given information

Simplify

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A battery with an emf of 60Vis connected to the two capacitors shown in FIGURE P26.62. Afterward, the charge on capacitor 2is 450μC. What is the capacitance of capacitor 2?

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

Classical Mechanics

Physics of Motion

Quantum Physics

Circular Motion and Gravitation

Torque and Rotational Motion

Force

Study anywhere. Anytime. Across all devices.

A battery with an emf of $60 V$ is connected to the two capacitors shown in FIGURE $P 26.62$ . Afterward, the charge on capacitor $2$ is $450 μ C$ . What is the capacitance of capacitor $2$ ?