An infinite plane in the xz plane carries a uniform surface charge density o1 = 74 nc/m2. A second infinite plane carrying a uniform charge density o2 = 38 nC/m2 intersects the xz plane at the z axis and makes an angle of 30° with the xz plane as shown in the figure below. Find the electric field in the xy plane at each of the following locations. + 30° o, (a) x = 6 m, y = 2 m N/C Î + |N/C j (b) x = 6 m, y = 5 m N/C Î + N/C j
An infinite plane in the xz plane carries a uniform surface charge density o1 = 74 nc/m2. A second infinite plane carrying a uniform charge density o2 = 38 nC/m2 intersects the xz plane at the z axis and makes an angle of 30° with the xz plane as shown in the figure below. Find the electric field in the xy plane at each of the following locations. + 30° o, (a) x = 6 m, y = 2 m N/C Î + |N/C j (b) x = 6 m, y = 5 m N/C Î + N/C j
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Problem Statement:**
An infinite plane in the xz plane carries a uniform surface charge density \( \sigma_1 = 74 \, \text{nC/m}^2 \). A second infinite plane carrying a uniform charge density \( \sigma_2 = 38 \, \text{nC/m}^2 \) intersects the xz plane at the z-axis and makes an angle of \( 30^\circ \) with the xz plane as shown in the figure below. Find the electric field in the xy plane at each of the following locations.
**Diagram Explanation:**
The diagram displays two intersecting planes:
1. The first plane (in the xz plane) carries a charge density \( \sigma_1 \).
2. The second plane intersects the first plane along the z-axis at an angle of \( 30^\circ \) with the xz plane and has a charge density \( \sigma_2 \).
**Questions:**
(a) For coordinates \( x = 6 \, \text{m}, \, y = 2 \, \text{m} \):
- \( [ \, \, ] \, \text{N/C} \, \hat{i} + [ \, \, ] \, \text{N/C} \, \hat{j} \)
(b) For coordinates \( x = 6 \, \text{m}, \, y = 5 \, \text{m} \):
- \( [ \, \, ] \, \text{N/C} \, \hat{i} + [ \, \, ] \, \text{N/C} \, \hat{j} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a163f18-29bc-4cae-aa7e-1a32645d5b83%2F624986d4-393c-49a7-ae3a-67acf2707fa5%2Fij5ptbl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
An infinite plane in the xz plane carries a uniform surface charge density \( \sigma_1 = 74 \, \text{nC/m}^2 \). A second infinite plane carrying a uniform charge density \( \sigma_2 = 38 \, \text{nC/m}^2 \) intersects the xz plane at the z-axis and makes an angle of \( 30^\circ \) with the xz plane as shown in the figure below. Find the electric field in the xy plane at each of the following locations.
**Diagram Explanation:**
The diagram displays two intersecting planes:
1. The first plane (in the xz plane) carries a charge density \( \sigma_1 \).
2. The second plane intersects the first plane along the z-axis at an angle of \( 30^\circ \) with the xz plane and has a charge density \( \sigma_2 \).
**Questions:**
(a) For coordinates \( x = 6 \, \text{m}, \, y = 2 \, \text{m} \):
- \( [ \, \, ] \, \text{N/C} \, \hat{i} + [ \, \, ] \, \text{N/C} \, \hat{j} \)
(b) For coordinates \( x = 6 \, \text{m}, \, y = 5 \, \text{m} \):
- \( [ \, \, ] \, \text{N/C} \, \hat{i} + [ \, \, ] \, \text{N/C} \, \hat{j} \)
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