Q. 47 FIGURE P24.47shows an infinitely... [FREE SOLUTION]

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Chapter 24: Q. 47 (page 685)

FIGURE P $24.47$ shows an infinitely wide conductor parallel to and distance $d$ from an infinitely wide plane of charge with surface charge density $畏$ . What are the electric field ${\overset{鈫�}{E}}_{1}$ to ${\overset{鈫�}{E}}_{4}$ in regions $1$ to $4$ ?

Short Answer

Expert verified

The farmland in Zones 1 to 4 is irrigated

1. ${\overset{鈫�}{E}}_{1} = \frac{畏}{2 蔚_{0}} \hat{j}$

2. ${\overset{鈫�}{E}}_{2} = \overset{鈫�}{0}$

3. ${\overset{鈫�}{E}}_{3} = \frac{畏}{2 蔚_{0}} \hat{j}$

4. ${\overset{鈫�}{E}}_{4} = - \frac{畏}{2 蔚_{0}} \hat{j}$

Step by step solution

Introduction

When a wire is positioned in the external electric field of a source (in this case, the charged plane), it produces a surface charge in it, culminating in a field inside the conducting that is always zero. In this scenario, the lower surface charge density of the cable will be $- \frac{畏}{2}$ , although the upper surface charge must be $\frac{畏}{2}$ in need for the conductor to remain quiet.

As more than just a response, we can determine that the field emitted by each charged surface is

$E_{A} = \frac{畏}{4 蔚_{0}}$

$E_{B} = \frac{畏}{4 蔚_{0}}$

$E_{C} = \frac{畏}{2 蔚_{0}}$

Explanation

This originates in

${\overset{鈫�}{E}}_{1} = \frac{畏}{2 蔚_{0}} (\frac{1}{2} - \frac{1}{2} + 1) \hat{j} = \frac{畏}{2 蔚_{0}} \hat{j}$

${\overset{鈫�}{E}}_{2} = \frac{畏}{2 蔚_{0}} (- \frac{1}{2} - \frac{1}{2} + 1) \hat{j} = \overset{鈫�}{0}$

${\overset{鈫�}{E}}_{3} = \frac{畏}{2 蔚_{0}} (- \frac{1}{2} + \frac{1}{2} + 1) \hat{j} = \frac{畏}{2 蔚_{0}} \hat{j}$

${\overset{鈫�}{E}}_{4} = \frac{畏}{2 蔚_{0}} (- \frac{1}{2} + \frac{1}{2} - 1) = - \frac{畏}{2 蔚_{0}} \hat{j}$

Step 3:The fields are

Cultivated area pasture is located in Zones 1 to 4.

${\overset{鈫�}{E}}_{1} = \frac{畏}{2 蔚_{0}} \hat{j}$

${\overset{鈫�}{E}}_{2} = \overset{鈫�}{0}$

${\overset{鈫�}{E}}_{3} = \frac{畏}{2 蔚_{0}} \hat{j}$

${\overset{鈫�}{E}}_{4} = - \frac{畏}{2 蔚_{0}} \hat{j}$

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FIGURE P $24.47$ shows an infinitely wide conductor parallel to and distance $d$ from an infinitely wide plane of charge with surface charge density $畏$ . What are the electric field ${\overset{鈫�}{E}}_{1}$ to ${\overset{鈫�}{E}}_{4}$ in regions $1$ to $4$ ?

Short Answer

Step by step solution

Introduction

Explanation

Step 3:The fields are

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91影视

FIGURE P24.47shows an infinitely wide conductor parallel to and distance dfrom an infinitely wide plane of charge with surface charge density 畏. What are the electric field E鈫�1to E鈫�4in regions 1to 4?

Short Answer

Step by step solution

Introduction

Explanation

Step 3:The fields are

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Wave Optics

Dynamics

Energy Physics

Conservation of Energy and Momentum

Fundamentals of Physics

Medical Physics

Study anywhere. Anytime. Across all devices.

FIGURE P $24.47$ shows an infinitely wide conductor parallel to and distance $d$ from an infinitely wide plane of charge with surface charge density $畏$ . What are the electric field ${\overset{鈫�}{E}}_{1}$ to ${\overset{鈫�}{E}}_{4}$ in regions $1$ to $4$ ?