1.

Two charges +q and -q are kept at (-x_1,0) and (x_1,0)respectively in the x-y plane. Find the magnitude and direction of the net electric field at the origin (0,0)

Answer»

Solution :LET two charges of +q and -QBE KEPT at POINTS A and B having coordinates `(-x_1,0)and (x_1,0) `as shown in the x-y plane
Net electric field origin point ` O= oversetto E= oversetto(E_A) +oversetto (E_B) `
But ` oversetto (E_(A)) =(1)/(4piin _0) .(q)/(x^(2)) ` , along AOB and ` oversetto (E_(B)) = ( 1)/(4 pi in _0).(q)/(x^(2)) `
along OB. Hence net electric field at point O
`oversetto (E)=2 XX (1)/(4 pi in _0) . (q)/(x^(2)) =(q)/(2 pi in_0 x^(2))` along AOB.


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