E&M a spinning spherical shell

Thread starter jasum
Start date May 10, 2006
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E&m Shell Spherical Spherical shell Spinning

In summary, the electric field inside a spinning spherical shell is given by E = 0 for r < R, and E = (Qr)/(4πε0R^3) for r ≥ R, where Q is the total charge of the shell, ε0 is the permittivity of free space, and R is the radius of the shell. As the distance from the center of the shell increases, the electric field increases proportionally with the distance. When the charge on the shell is increased, the electric field inside the shell also increases. A spinning spherical shell can have a non-uniform distribution of charge, but the electric field inside the shell will still follow the same equation. The electric field inside a spinning spherical shell is

May 10, 2006

jasum

In fact, This is a question I caucalated in HW. But I still dun understand the answer. Any have the idea about this question?
The problem is in this link
http://web.mit.edu/8.07/www/probsets/PS6s.pdf

The problem No.2

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May 10, 2006

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Which part don't you understand?

1. What is the equation for the electric field inside a spinning spherical shell?

The equation for the electric field inside a spinning spherical shell is given by E = 0 for r < R, and E = (Qr)/(4πε0R^3) for r ≥ R, where Q is the total charge of the shell, ε0 is the permittivity of free space, and R is the radius of the shell.

2. How does the electric field inside a spinning spherical shell change with increasing distance from the center?

Inside a spinning spherical shell, the electric field is zero (E = 0) for any distance less than the radius of the shell (r < R). However, as the distance from the center of the shell increases (r ≥ R), the electric field increases proportionally with the distance, which can be represented by the equation E = (Qr)/(4πε0R^3).

3. What happens to the electric field inside a spinning spherical shell when the charge on the shell is increased?

As the charge on the shell increases, the electric field inside the shell also increases. This is because the electric field is directly proportional to the charge (Q) and inversely proportional to the radius (R) of the shell, as shown by the equation E = (Qr)/(4πε0R^3).

4. Can a spinning spherical shell have a non-uniform distribution of charge?

Yes, a spinning spherical shell can have a non-uniform distribution of charge. However, the electric field inside the shell will still follow the same equation, E = (Qr)/(4πε0R^3). This means that even with a non-uniform distribution of charge, the electric field will still increase proportionally with the distance from the center of the shell.

5. How does the electric field inside a spinning spherical shell compare to that of a stationary spherical shell?

The electric field inside a spinning spherical shell is different from that of a stationary spherical shell. In a stationary shell, there is a constant electric field throughout the shell, while in a spinning shell, the electric field is zero (E = 0) inside the shell and only exists outside the shell (E = (Qr)/(4πε0R^3)). Additionally, the electric field in a spinning shell is dependent on the distance from the center, while the electric field in a stationary shell is not affected by distance.