Electromagnetism

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

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

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

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