6) The conducting spherical shell with the inner radius a and outer radius b as shown in the figure below carries a charge of 4nC, and that a charge of -2nC is at the center of the sphere. If a = 1.2 m and b = 1.5 m, a) What is the charge distribution on the inside and outside surfaces of the sphere? b) The magnitude and direction of the electric field at r=0.8 m c) The magnitude and direction of the electric field at r=1.3 m The magnitude and direction of the electric field at r= 2.50 m b a

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**Problem Description:**

A conducting spherical shell with an inner radius \( a \) and outer radius \( b \) is shown in the figure below. The shell carries a charge of \( 4 \, \text{nC} \), and there is a charge of \( -2 \, \text{nC} \) at the center of the sphere.

- Given: 
  - \( a = 1.2 \, \text{m} \) 
  - \( b = 1.5 \, \text{m} \)

**Questions:**

a) What is the charge distribution on the inside and outside surfaces of the sphere?

b) Determine the magnitude and direction of the electric field at \( r = 0.8 \, \text{m} \).

c) Determine the magnitude and direction of the electric field at:
  - \( r = 1.3 \, \text{m} \)
  - \( r = 2.50 \, \text{m} \)

**Diagram Description:**

The diagram shows a spherical shell with two concentric circles. The inner circle is labeled with radius \( a \) and the outer circle with radius \( b \). Inside the inner circle, there is a point charge labeled \( q \). The outer circle contains uniformly distributed plus signs, indicating a positive charge. An arrow points from the outside of the shell labeled \( Q \).
Transcribed Image Text:**Problem Description:** A conducting spherical shell with an inner radius \( a \) and outer radius \( b \) is shown in the figure below. The shell carries a charge of \( 4 \, \text{nC} \), and there is a charge of \( -2 \, \text{nC} \) at the center of the sphere. - Given: - \( a = 1.2 \, \text{m} \) - \( b = 1.5 \, \text{m} \) **Questions:** a) What is the charge distribution on the inside and outside surfaces of the sphere? b) Determine the magnitude and direction of the electric field at \( r = 0.8 \, \text{m} \). c) Determine the magnitude and direction of the electric field at: - \( r = 1.3 \, \text{m} \) - \( r = 2.50 \, \text{m} \) **Diagram Description:** The diagram shows a spherical shell with two concentric circles. The inner circle is labeled with radius \( a \) and the outer circle with radius \( b \). Inside the inner circle, there is a point charge labeled \( q \). The outer circle contains uniformly distributed plus signs, indicating a positive charge. An arrow points from the outside of the shell labeled \( Q \).
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