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Homework Statement
consider 2 uniform static electric charge densities +/[tex]\rho[/tex] located in the volumes defined by the 2 intercepting spheres of radius a. Charges are located in free space and [tex]\rho[/tex][tex]\delta[/tex] is a constant c.
The center of the spheres are separated by distance [tex]\delta[/tex]
The upper sphere has charge density +[tex]\rho[/tex] and lower has [tex]\rho[/tex]
Show that E(P) in the region belonging to both spheres is constant and given by [tex]\hat{z}[/tex]c/3[tex]\epsilon[/tex]_{0}
Homework Equations
The Attempt at a Solution
Charge Q= [tex]\rho[/tex](4/3pi a^{3})
I tried for +ve charged sphere E(P) = (Q/(4pi[tex]\epsilon[/tex])R^{3})[ 3 R.d/R^{2} Rd]
I was able to get
E(P) = [tex]\rho[/tex]a^{3}/3epsilonR^{3} [ 3 R [tex]\delta[/tex]/R^{2} R[tex]\delta[/tex]]
I tried to use superposition and calculate E field due to each sphere and add up. But didn't get anywhere.
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