Potential Difference in spherical shell

In summary, the conversation discusses a problem involving a spherical shell with a negative charge, and two glass disks with positive and negative charges. The goal is to find the potential difference at different points in the system. The equations used are E = (Q/A)/E_o. The conversation ends with a request for help and clarification on how to approach the problem.
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Homework Statement




Figure 16.69
A thin spherical shell made of plastic carries a uniformly distributed negative charge -7e-10 coulombs (indicated as -Q1 in the diagram). Two large thin disks made of glass carry uniformly distributed positive and negative charges 1.7e-05 coulombs and -1.7e-05 coulombs (indicated as +Q2 and -Q2 in Figure 16.69). The radius R1 of the plastic spherical shell is 7 mm, and the radius R2 of the glass disks is 4 meters. The distance d from the center of the spherical shell to the positive disk is 19 mm.

(a) Find the potential difference V1 - V2. Point 1 is at the center of the plastic sphere, and point 2 is just outside the sphere.
volts
(b) Find the potential difference V2 - V3. Point 2 is just below the sphere, and point 3 is right beside the positive glass disk.
volts

Remember that the sign of the potential difference is important.

Homework Equations


E = (Q/A)/E_o



The Attempt at a Solution


I tried calculating the field from the capacitor and multiplying it, but I really think I'm going in circles. Anyone help?

I'm so confused on how to begin... Please help.
 

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  • #2
I also really need help with this problem. Any help?
 
  • #3
I also have question on this too can someone help us??
 

FAQ: Potential Difference in spherical shell

What is Potential Difference in a spherical shell?

Potential difference in a spherical shell refers to the difference in electric potential between two points on the surface of a spherical shell. It is also known as voltage or electric potential difference and is measured in volts (V).

How is Potential Difference calculated in a spherical shell?

The formula for calculating potential difference in a spherical shell is V = kQ/r, where V is the potential difference, k is the Coulomb's constant, Q is the charge of the spherical shell, and r is the distance between the two points on the surface of the shell.

What factors affect Potential Difference in a spherical shell?

The potential difference in a spherical shell is affected by the charge of the shell, the distance between the two points, and the medium between the points. The potential difference increases with an increase in charge and decreases with an increase in distance or when a non-conducting medium is present.

How does Potential Difference in a spherical shell relate to electric fields?

Potential difference in a spherical shell is directly related to the strength of the electric field. The stronger the electric field, the greater the potential difference between two points on the surface of the shell. This relationship is described by the equation E = V/r, where E is the electric field strength and r is the distance between the points.

What is the significance of Potential Difference in a spherical shell?

Potential difference is an important concept in understanding the behavior of electric fields and how they interact with charged objects. It is also essential in the study of circuits and electrical systems, where it is used to calculate the flow of electric current and the power of the system. Understanding potential difference in a spherical shell can help in understanding more complex electrical systems and phenomena.

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