Question

Consider a sphere of radius R which carries a uniform charge density ρ. If a sphere of radius R/2 is carved out of it, as shown, the ratio vector|E_A/E_B| of magnitude of electric field vector E_A and vector E_B, respectively, at points A and B due to the remaining portion is : 

(1) 18/54

(2) 21/34

(3) 17/54

(4) 18/34

Answer 1

Answer is (4) 18/34

for point A

For point B

Answer 2

Answer is (4) 18/34 

Fill the empty space with +ρ and – ρ charge density.