1. You have a spherical styrofoam ball, of radius R, which is uniformly charged throughout its volume. The total charge is q. 2. What is the volume charge density p within the ball? 3. Use Gauss's Law to find the electric field outside the sphere (r > R)? (see "(a)" below for a drawing) 4. Use Gauss's Law to fine the electric field inside the sphere (r < R)? (see "(b)" below for a drawing) 5. Forr> R, how does the electric field compare to that of a point charge of the same total charge Q?

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Goals: Use Gauss' Law to find the electric field for a spherical distribution of
charge
1. You have a spherical styrofoam ball, of radius R, which is uniformly charged throughout its volume. The total
charge is q.
2. What is the volume charge density p within the ball?
3. Use Gauss's Law to find the electric field outside the sphere (r > R)? (see "(a)" below for a drawing)
4. Use Gauss's Law to fine the electric field inside the sphere (r < R)? (see "(b)" below for a drawing)
5. For r> R, how does the electric field compare to that of a point charge of the same total charge Q?
Enclosed
charge is q
Gaussian
surface
(a)
Enclosed
charge is q'-
Gaussian
.surface
(b)
Transcribed Image Text:Goals: Use Gauss' Law to find the electric field for a spherical distribution of charge 1. You have a spherical styrofoam ball, of radius R, which is uniformly charged throughout its volume. The total charge is q. 2. What is the volume charge density p within the ball? 3. Use Gauss's Law to find the electric field outside the sphere (r > R)? (see "(a)" below for a drawing) 4. Use Gauss's Law to fine the electric field inside the sphere (r < R)? (see "(b)" below for a drawing) 5. For r> R, how does the electric field compare to that of a point charge of the same total charge Q? Enclosed charge is q Gaussian surface (a) Enclosed charge is q'- Gaussian .surface (b)
Expert Solution
Step 1

Given:

The total charge q is uniformly distributed on the spherical styrofoam ball.

The radius of the styrofoam ball is R.

 

 

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