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1. (a)Consider a sphere of radius a, with a uniform charge density of unity. Calculate the total charge contained by this sphere. (b) Consider now the case of non-uniform distribution of charge with a density functional form p (r)= K (3-r/a²) for the same sphere. Evaluate the constant K

1. (a)Consider a sphere of radius a, with a uniform charge density of unity. Calculate the total charge contained by this sphere. (b) Consider now the case of non-uniform distribution of charge with a density functional form p (r)= K (3-r/a²) for the same sphere. Evaluate the constant K

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1. (a)Consider a sphere of radius a, with a uniform charge density of unity. Calculate the total charge contained by this sphere. (b) Consider now the case of non-uniform distribution of charge with a density functional form p (r)= K (3-r/a?) for the same sphere. Evaluate the constant K 2. (a) Let an electric potential V be independent of x and z, and the gradient of V = 10 y in y- direction. If V = 5 at y = 0, then find V in terms of y. (b) Find the electric field in a region where the plectric potential V = -5 xv
Transcribed Image Text:1. (a)Consider a sphere of radius a, with a uniform charge density of unity. Calculate the total charge contained by this sphere. (b) Consider now the case of non-uniform distribution of charge with a density functional form p (r)= K (3-r/a?) for the same sphere. Evaluate the constant K 2. (a) Let an electric potential V be independent of x and z, and the gradient of V = 10 y in y- direction. If V = 5 at y = 0, then find V in terms of y. (b) Find the electric field in a region where the plectric potential V = -5 xv
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