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A 3.4 ?C point charge is on the x-axis at 1.9 m, and a 3.3 ?C...

A 3.4 ?C point charge is on the x-axis at 1.9 m, and a 3.3 ?C point charge is on the x-axis at 3.2 m .

Find the magnitude of the net electric field at the point on the y-axis where y = 2.2 m . The value of the Coulomb constant is 8.98755

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Answer #1

r1 due to first charge is

theta=tan-1 (2.2/1.9)=49.18

r1=1.9/Cos49.18=2.91m

E1=kq1/(r1)2==9x109x3.4x10-6/(2.91)2=3613.6N/C

similarly

r2 due to first charge is

theta=tan-1 (2.2/3.2)=34.51

r2=1.9/Cos34.51=3.88m

E2=kq2/(r2)2==9x109x3.3x10-6/(3.88)2=1972.8N/C

Etx=3613.6Cos49.18+1972.8Cos34.51=2362.2+1625.64=3987.8N/C

Ety=3613.6Sin49.18+1972.8Sin34.51=2734.65+1117.69=3852.34N/C

Et=sqrt(Etx2+Ety2)=sqrt(3987.82+3852.342)=5544.64N/C

direction of electric field is tan-1 (3852.34/3987.8)=44.01o

direction of electric field from the positive x-axis is =135.9o

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