In the region shown in the diagram above there is an electric field due to a poi

Question

In the region shown in the diagram above there is an electric field due to a point charge located at the center of the magenta circle. The orange arrows indicate the magnitude and direction of the electric field at the locations shown.

What is the sign of the source charge? POSITIVE

Now a particle whose charge is -4e-09 C is placed at location B. Which arrow (a-j) best indicates the direction of the electric force on the -4e-09 C charge? H

B) What is the electric force on the -4e-09 C charge? <-0.00003200,0.00003200>

C) What is the unit vector in the direction of this electric force?

Explanation / Answer

1)Positive

2) H

3) A) Magnitude of E = sqrt(Ex^2 + Ey^2) = 11313.7 N/C

   So, unit vector of Ex = 8000/11313.7 = 0.707107

and unit vector of Ey = -8000/11313.7 = -0.707107,          Ez = 0

B) F = qE ,      So,           Fz = 0

        Fx = qEx = (-4e-9)*8000 = -3.2*10^-5 N

      Fy = qEy = (-4e-9)*(-8000) = 3.2*10^-5 N     

Magnitude of F = 4.53*10^-5 N

So, Unit vector of Fx = -3.2*10^-5/4.53*10^-5 = -0.7064

and Unit vector of Fy = 3.2*10^-5/4.53*10^-5 = 0.7064

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