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A system consistsof a him chargedwire ring of radius R and a very uniformly chargedthread orientedalongthe axisof the ring withone of its endscoincidingwiththe centreof the ring. The total charge of the ring isequal to q. The charge of the thread (per unit length) is equal to lambda. Find the interaction force between the ring and the thread. |
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Answer» Solution :Force "dF" on the wire `=dq barE` `=(QX lambda dx)/(4PI in_(0)(x^(2)+R^(2))^(3//2))` `=(qlambda)/(4pi in_(0)) int_(0)^(OO) (xdx)/((R^(2) +x^(2))^(3//2))` `F=(lambdaq)/(4pi in_(0)R)`. |
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