Charged Insulating Spherical Shell, Electric Potential as a function of r

In summary, the conversation is discussing the potential of a spherical shell with a charge of 1.65 × 10-8 C, distributed uniformly throughout its volume. The inner and outer radii of the shell are given as 13.6 cm and 15.8 cm, respectively. The potential at the inner radius was solved using the equation V = kQ/r, resulting in a value of 5.58 x 10^2 V. The task of sketching the graph of potential for all values of r remains unclear with only one point given.
  • #1
jaguar7
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Homework Statement



The inner radius of a spherical shell is 13.6 cm, and the outer radius is 15.8 cm. The shell carries a charge of 1.65 × 10-8 C, distributed uniformly though its volume. Sketch, for your own benefit, the graph of the potential for all values of r (the radial distance from the center of the shell). What is the potential at the inner radius?

Homework Equations



I used kQ/r to solve for the outer radius...

The Attempt at a Solution

 
Last edited:
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  • #2
V = kQ/rV = (8.99 x 10^9)(1.65 x 10^-8)/15.8V = 5.58 x 10^2 V I'm not sure how to sketch the graph as I'm only given one point. Am I missing something?
 

1. What is a charged insulating spherical shell?

A charged insulating spherical shell is a type of object in which a uniform charge is spread over the surface of a hollow sphere made of an insulating material, such as plastic or rubber.

2. How is the electric potential of a charged insulating spherical shell related to its distance from the center?

The electric potential of a charged insulating spherical shell is directly proportional to the inverse of the distance from the center of the sphere. As the distance increases, the electric potential decreases.

3. Is the electric potential inside a charged insulating spherical shell zero?

Yes, the electric potential inside a charged insulating spherical shell is always zero. This is because the electric field inside an insulating material is zero, and the electric potential is directly related to the electric field.

4. How is the electric potential of a charged insulating spherical shell affected by the amount of charge on the surface?

The electric potential of a charged insulating spherical shell is directly proportional to the amount of charge on the surface. As the charge increases, the electric potential also increases.

5. Can the electric potential of a charged insulating spherical shell be negative?

Yes, the electric potential of a charged insulating spherical shell can be negative if the charge on the surface is negative. In this case, the electric potential will decrease as the distance from the center increases, resulting in a negative value.

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