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?
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9acecab6-4ff3-4f4d-8c84-fd7506171429%2Fbab5c45e-a5a1-4b85-8037-ee8eaf1e95a0%2Fy76i2m_processed.png&w=3840&q=75)
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
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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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