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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). √∞
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). √∞
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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