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Two identical circular loops ‘1’ and ‘2’ of radius R each have linear charge densities –λ and +λ C/m respectively. The loops are placed coaxially with their centres R–√3 distance apart. Find the magnitude and direction of the net electric field at the centre of loop ‘1’

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Electric field at the centre O1 due to loop 1 is given by

Electric field at a point outside the loop 2 on the axis passing normally through O2 of loop 2 is

So, net electric field at the centre of loop 1

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