Electromagnetism

There are two solid spheres of radius 2 R 2R and R R of non-uniform charge density R > 1 R>1 . The distance between their centre is d d . There is a point between their centre at which the net electric field is zero 0. 0. Their charge densities are given as,

For bigger sphere, ρ ( r ) = A r \rho_{(r)} = \dfrac{A}{r} ,

For smaller sphere, ρ ( r ) = A r 2 \rho_{(r)} = \dfrac{A}{r^2} , where r r is the distance from the centre of sphere.Suppose the required point is at x x distance from bigger sphere and y y distance from smaller sphere. Then x y , \dfrac{x}{y},

depends on A depends on R 2 R^{2} doesn't depend on A less than 1

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