A conducting sphere carrying a charge Q is surrounded by a spherical conducting

Question

A conducting sphere carrying a charge Q is surrounded by a spherical conducting shell. What is the net charge on the inner surface of the shell? Another charge q is placed outside the shell What is the net char, inner surface of the shell ? If q is moved to a position between the shell and the sphere, what is the net charge on the inner surface of the shell ? What if the shell and sphere are not concentric will your answer change? A sphere of radius R is charged with distribution rho =rho 0r2, where rho 0 is a constant and 0 le r le R. Found the E - field for: r R. Verify that the field is a continuous function of r by testing its behavior at the boundaries. Graph E vs. r.

Explanation / Answer

5)a)-Q B)-Q C)-(Q+q) d)no

6) a)acorrding to gauss law

E.ds=charge/permitivitty E.4*PI*r^2=p0*r^2*(4/3)*pi*r^3

=>E=po*r^3/(3*permitivitty)

b)using gauss law E=po*R^5/(3*r^3*permitivitty)

c)it is continious fn.

d) grapg will first increased upto( po*R^3)/(3*PERMITIVITTY) then decresing like exponentially.

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