College Physics
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ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![**Conducting Spherical Shell and Electric Field Analysis**
Suppose the conducting spherical shell in the figure carries a charge of \(3.80 \, \text{nC}\) and that a charge of \(-1.60 \, \text{nC}\) is at the center of the sphere. If \(a = 1.60 \, \text{m}\) and \(b = 2.40 \, \text{m}\), find the electric field at the following:
**(a)** \(r = 1.50 \, \text{m}\)
- Magnitude: \(\_\_\_\_\_\_\) \(\text{N/C}\)
- Direction: \([ \text{Select} ]\)
**(b)** \(r = 2.20 \, \text{m}\)
- Magnitude: \(\_\_\_\_\_\_\) \(\text{N/C}\)
- Direction: \([ \text{Select} ]\)
**(c)** \(r = 2.50 \, \text{m}\)
- Magnitude: \(\_\_\_\_\_\_\) \(\text{N/C}\)
- Direction: \([ \text{Select} ]\)
**(d)** What is the charge distribution on the sphere?
- Inner surface: \(\_\_\_\_\_\_\) \(\text{nC}\)
- Outer surface: \(\_\_\_\_\_\_\) \(\text{nC}\)
**Diagram Explanation:**
- The diagram depicts a spherical shell with inner radius \(a\) and outer radius \(b\).
- The shell carries a total charge \(Q\).
- The point charge \(q\) is located at the center of the sphere.
- Illustration of the shell with positive charge markings is shown around the outer surface.](https://content.bartleby.com/qna-images/question/9413ee1b-018f-4e4f-9457-fb88f0adac84/709294d8-4e8b-4918-baa2-8c9f0bab508c/5czdtn_processed.png)
Transcribed Image Text:**Conducting Spherical Shell and Electric Field Analysis**
Suppose the conducting spherical shell in the figure carries a charge of \(3.80 \, \text{nC}\) and that a charge of \(-1.60 \, \text{nC}\) is at the center of the sphere. If \(a = 1.60 \, \text{m}\) and \(b = 2.40 \, \text{m}\), find the electric field at the following:
**(a)** \(r = 1.50 \, \text{m}\)
- Magnitude: \(\_\_\_\_\_\_\) \(\text{N/C}\)
- Direction: \([ \text{Select} ]\)
**(b)** \(r = 2.20 \, \text{m}\)
- Magnitude: \(\_\_\_\_\_\_\) \(\text{N/C}\)
- Direction: \([ \text{Select} ]\)
**(c)** \(r = 2.50 \, \text{m}\)
- Magnitude: \(\_\_\_\_\_\_\) \(\text{N/C}\)
- Direction: \([ \text{Select} ]\)
**(d)** What is the charge distribution on the sphere?
- Inner surface: \(\_\_\_\_\_\_\) \(\text{nC}\)
- Outer surface: \(\_\_\_\_\_\_\) \(\text{nC}\)
**Diagram Explanation:**
- The diagram depicts a spherical shell with inner radius \(a\) and outer radius \(b\).
- The shell carries a total charge \(Q\).
- The point charge \(q\) is located at the center of the sphere.
- Illustration of the shell with positive charge markings is shown around the outer surface.
Expert Solution
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Step 1
given data
q=-1.60 nC
Q = 3.80 nC
a=1.60 m
b=2.40 m
(a) electric field at 1.50 m is
(b) Given that this is conducting spherical shell so at r=2.20 m charge imbalance a<r<b.
so E=0
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
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