**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.

Answered: 4 (a) r = 1.50 m magnitude direction…

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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**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

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

$r < a E = \frac{K q}{r^{2}} {K = 9 \times 10^{9} N m^{2} / C^{2}} p u t t h e v a l u e s w e g e t m a g n i t u d e o f e l e c t r i c f i e l d i s E = 6.4 V / m a n d d i r e c t i o n i s t o w a r d s t h e c e n t e r d u e t o n e g a t i v e c h a r g e a t t h e c e n t e r .$

(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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