Question #167114

A 20 pC charge is placed at the origin and a -30 pC is places 3m to the right of it. What is the magnitude and direction of the electric field 7m meters from the origin?


1
Expert's answer
2021-02-28T07:37:22-0500

Answer

Electric field due to any point charge is given

E=kqr2E=\frac{kq}{r^2}

Electric field due 20 pC charge

E1=9×109×20×10127×7(i)E_1=\frac{9\times10^9\times20\times10^{-12}}{7\times7}(-i)


=3.7×103(i)=3.7\times10^{-3}(-i) V/m


E2=9×109×30×10124×4(i)E_2=\frac{9\times10^9\times30\times10^{-12}}{4\times4}(i)

= =16.9×103(i)=16.9\times10^{-3}(i) V/m

So resultant

The magnitude and direction of the electric field 7m meters from the origin

Is

E=E1+E2E_1+E_2

=13.2×103(i)=13.2\times10^{-3}(i) v/m

Direction in positive x direction.




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