ElectrostaticsHard

Question

In the figure shown, find the ratio of the linear charge densities λ1(on semi-infinite straight wire ) and λ2 (on semi-circular part), that is, λ1/λ2 so that the field O is along y direction :-
           (O is the center of the semicircle)

Options

A.2
B.1
C.√2
D.3

Solution

             
Electric field due to semicircular part.
E2 =
Electric field due to straight part :
E1x = E1y =
For the net field to be along the y-axis :
E2 = E1x ⇒ = 2

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