A nonuniform, but spherically symmetric, distribution of charge has a charge density ρ(r) given as follows: ρ(r)= ρ 0 (1−4r/3R) for r≤R ρ(r)=0 for r≥R where R and ρ 0 are positive constants. Part A Find the total charge contained in the charge distribution. Express your answer in terms of the variables r , R , ρ 0 , and appropriate constants. Part B Obtain an expression for the electric field in the region r≥R . Express your answer in terms of the variables r , R , ρ 0 , and appropriate constants. Part C Obtain an expression for the electric field in the region r≤R . Express your answer in terms of the variables r , R , ρ 0 , and appropriate constants. Part D Find the value of r at which the electric field is maximum. Express your answer in terms of the variables r , R , ρ 0 , and appropriate constants. Part E Find the value of that maximum field. Express your answer in terms of the variables r , R , ρ 0 , and appropriate constants.
A nonuniform, but spherically symmetric, distribution of charge has a charge density ρ(r) given as follows: ρ(r)= ρ 0 (1−4r/3R) for r≤R ρ(r)=0 for r≥R where R and ρ 0 are positive constants.
Part A Find the total charge contained in the charge distribution. Express your answer in terms of the variables r , R , ρ 0 , and appropriate constants.
Part B Obtain an expression for the electric field in the region r≥R . Express your answer in terms of the variables r , R , ρ 0 , and appropriate constants.
Part C Obtain an expression for the electric field in the region r≤R . Express your answer in terms of the variables r , R , ρ 0 , and appropriate constants.
Part D Find the value of r at which the electric field is maximum. Express your answer in terms of the variables r , R , ρ 0 , and appropriate constants.
Part E Find the value of that maximum field. Express your answer in terms of the variables r , R , ρ 0 , and appropriate constants.
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