Conducting spherical shell with point charge

In summary, the problem given involves a spherical shell with an inner radius of 0.045m and an outer radius of 0.18m, and a net charge of zero. A charge Q of 5.5x10-5 is placed at the center, and the task is to find the electric fields at points A, B, and C, which are located at 0.03m, 0.06m, and 0.2m respectively. The relevant equation used is E= qenc/(4pi*r2*epsilon_0), and the values for each point are calculated. Additionally, it is stated that the charge on the inner radius (qin) is equal to the negative of Q
  • #1
demarco
1
0
Hi, I received this question on my exam today and it stumped me...

Conducting spherical shell of inner radius 0.045m and outer radius 0.18m, which has a net charge of zero.

A charge Q of 5.5x10-5 is placed at the center, find the electric fields at point A (0.03m), point B (0.06m), and point C (0.2m).

Also find the charge qin of the inner radius and qout of the outer radius.

exam1.jpg


Relevant Equations
E= qenc/(4pi*r2*epsilon_0)

My Attempt
Ea = 5.50x10-5/(4pi*(0.03m)2*epsilon_0)
 
Last edited:
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  • #2
Eb = 5.50x10-5/(4pi*(0.06m)2*epsilon_0) Ec = 5.50x10-5/(4pi*(0.20m)2*epsilon_0)qin = -Q and qout = 0
 

FAQ: Conducting spherical shell with point charge

1. What is a spherical shell with point charge?

A spherical shell with point charge is a hypothetical situation in which a point charge is placed at the center of a spherical shell. This creates a uniform electric field on the surface of the shell.

2. How is a spherical shell with point charge different from a point charge?

A point charge has no physical dimensions and creates an electric field that decreases with distance according to the inverse square law. On the other hand, a spherical shell with point charge has physical dimensions and creates a uniform electric field on its surface that does not decrease with distance.

3. What is the equation for the electric field of a spherical shell with point charge?

The equation for the electric field of a spherical shell with point charge is E = kQ/r^2, where k is the Coulomb's constant, Q is the charge of the point charge, and r is the distance from the center of the shell to the point at which the electric field is being measured.

4. How is the electric field inside and outside of a spherical shell with point charge?

Inside the shell, the electric field is zero. This is because the electric field vectors from all points on the shell cancel each other out due to the symmetry of the shell. Outside the shell, the electric field is the same as that of a point charge located at the center of the shell.

5. What are some real-world examples of a spherical shell with point charge?

One example could be a charged metal sphere (such as a Van de Graaff generator) with a small point charge placed at its center. Another example could be a charged soap bubble, where the charge is concentrated at a single point on the surface of the bubble.

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