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A thin nonconducting ring of radius R ...

A thin nonconducting ring of radius `R` has a linear charge density `lambda = lambda_(0) cos varphi`, where `lambda_(0)` is a constant , `phi` is the azimutahl angle. Find the magnitude of the electric field strength
(a) at the centre of the ring ,
(b) on the axis of the ring as a function of the distance `x` from its centre. Investegation the obtained function at `x gt gt R`.

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