An infinite line charge of uniform linear charge density = -1.9 C/m lies paralle

Question

An infinite line charge of uniform linear charge density = -1.9 C/m lies parallel to the y axis at x = 0 m. A point charge of 0.9 C is located at x = 2.0 m, y = 3.0 m. Find the x- and y-components of the electric field at x = 3.0 m, y = 2.5 m.

Explanation / Answer

for this prob we find field due to individual charge as due to line charge E1 and point charge E2 and supepose them as electric fields can be superpose we go by this for simplification E=E1+E2 now we find indivudual fields E1=?/2per where ? is the linear charge density and r is the distance from line charge and r=2.5 m (distance from y axis => line charge) as it is infinitely long there is no component in y axis substituting r,? E1=-10785 N/C E1=-10.785i kN/C E2 has x and y components |r|=1.107 m E2=(q/4per3)*r^ r^ =(2.5,3.5)-(3.5,3.0) r^ =i-0.5j E2= 4637(i-0.5j) E2=4637i-2319j E2=4.637i-2.319j kN/C E=E1+E2 =>E=-6.148i-2.319j kN/C

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