Chapter 24: Q. 27 (page 684)

FIGURE EX24.27 shows a hollow cavity within a neutral conductor. A point charge $Q$ is inside the cavity. What is the net electric flux through the closed surface that surrounds the conductor?

Short Answer

Expert verified

The net electric flux through the closed surface is $Φ_{e} = \frac{Q}{ε_{0}}$

Step by step solution

Given information and Theory used

Given figure :

Theory used :

The amount of electric field that travels through a closed surface is referred to as the electric flux. The electric flux through a surface is proportional to the charge inside the surface, according to Gauss's law, which is provided by equation :

$Φ_{e} = \oint \vec{E} \cdot d \vec{A} = \frac{Q_{i n}}{ε_{0}}$ (1)

Calculating the net electric flux through the closed surface

The cavity's positive charge $Q$ induces a negative charge $- Q$ on the conductor's inner side.

As seen in the diagram below, the induced negative charge produces a positive charge $Q$ at the conductor's surface.

$Q_{i n} = Q + (- Q) + Q = Q$ is the total enclosed charge through the closed surface that surrounds the conductor.

To calculate the electric flux, enter this number into equation (1).

$Φ_{e} = \frac{Q_{i n}}{ε_{0}} = \frac{Q}{ε_{0}}$

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FIGURE EX24.27 shows a hollow cavity within a neutral conductor. A point charge $Q$ is inside the cavity. What is the net electric flux through the closed surface that surrounds the conductor?

Short Answer

Step by step solution

Given information and Theory used

Calculating the net electric flux through the closed surface

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FIGURE EX24.27 shows a hollow cavity within a neutral conductor. A point charge Qis inside the cavity. What is the net electric flux through the closed surface that surrounds the conductor?

Short Answer

Step by step solution

Given information and Theory used

Calculating the net electric flux through the closed surface

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Oscillations

Magnetism and Electromagnetic Induction

Translational Dynamics

Fields in Physics

Magnetism

Mechanics and Materials

Study anywhere. Anytime. Across all devices.

FIGURE EX24.27 shows a hollow cavity within a neutral conductor. A point charge $Q$ is inside the cavity. What is the net electric flux through the closed surface that surrounds the conductor?