3. A thick spherical shell centered at the origin has inner radius a and outer radius 2a carries, and volume charge density p= kr (a 2a.
3. A thick spherical shell centered at the origin has inner radius a and outer radius 2a carries, and volume charge density p= kr (a 2a.
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Please answer question 3, and, if possible question 4. These problems deal with the same system, so I hope this isn't too much to ask. Thank you
![3. A thick spherical shell centered at the origin has inner radius a and outer radius 2a carries, and
volume charge density p=kr (a<r< 2a), where k is a constant. In addition there is a negative
point charge -q at the origin. Using Gauss law, calculate the electric field at radii a < r < 2a and
r> 2a.
4. Consider the same system as in problem 3 above, except that now take the charge density to be
constant such that the total charge in the spherical shell is given by +q. In that case, calculate the
electric potential at radius r for 0 <r <a. (Hint: Consider the line integral of the electric field in
three pieces, as = √²ª + √₂²a+Sa).
√∞](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8af2d8b-8ab5-487f-8975-13760de94026%2Fe4775a0b-a3fb-485c-a407-38c58d90d9e0%2Faklci0e_processed.png&w=3840&q=75)
Transcribed Image Text:3. A thick spherical shell centered at the origin has inner radius a and outer radius 2a carries, and
volume charge density p=kr (a<r< 2a), where k is a constant. In addition there is a negative
point charge -q at the origin. Using Gauss law, calculate the electric field at radii a < r < 2a and
r> 2a.
4. Consider the same system as in problem 3 above, except that now take the charge density to be
constant such that the total charge in the spherical shell is given by +q. In that case, calculate the
electric potential at radius r for 0 <r <a. (Hint: Consider the line integral of the electric field in
three pieces, as = √²ª + √₂²a+Sa).
√∞
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Are you able to now answer question 4?
![3. A thick spherical shell centered at the origin has inner radius a and outer radius 2a carries, and
volume charge density p=kr (a<r< 2a), where k is a constant. In addition there is a negative
point charge -q at the origin. Using Gauss law, calculate the electric field at radii a < r < 2a and
r> 2a.
4. Consider the same system as in problem 3 above, except that now take the charge density to be
constant such that the total charge in the spherical shell is given by +q. In that case, calculate the
electric potential at radius r for 0 <r<a. (Hint: Consider the line integral of the electric field in
three pieces, as = √²ª + √₂²a+Sa).
√∞](https://content.bartleby.com/qna-images/question/f8af2d8b-8ab5-487f-8975-13760de94026/0d79df9c-8e0d-4bb1-9531-9d7d8076de18/u4jd3tc_thumbnail.png)
Transcribed Image Text:3. A thick spherical shell centered at the origin has inner radius a and outer radius 2a carries, and
volume charge density p=kr (a<r< 2a), where k is a constant. In addition there is a negative
point charge -q at the origin. Using Gauss law, calculate the electric field at radii a < r < 2a and
r> 2a.
4. Consider the same system as in problem 3 above, except that now take the charge density to be
constant such that the total charge in the spherical shell is given by +q. In that case, calculate the
electric potential at radius r for 0 <r<a. (Hint: Consider the line integral of the electric field in
three pieces, as = √²ª + √₂²a+Sa).
√∞
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