Two positive charges are placed on the x-axis. A 10^-7 Coulomb charge is at orig

Question

Two positive charges are placed on the x-axis. A 10^-7 Coulomb charge is at origin and a 10^-7 Coulomb charges is at x = 5 cm. Where is the combined electric field of the two charges exactly zero? What are the x and y components of the electric field due to the charge at the origin at the point (x, y)= (2.5 cm, 2.5 cm). What are the x and y components of the electric field due to the charge at x=5 cm at the point (x, y) = (2.5 cm. 2.5 cm). What is the combined electric field at the point (x, y) = (2.5 cm. 2.5 cm), magnitude and direction, when you add the two field strengths you found in parts b) and c)? Make a sketch as part of your answer. Use your results to find the net force, magnitude and direction, on a =10^-8 Coulomb charge placed at the point (x, y) = (2.5 cm. 2.5 cm).

Explanation / Answer

B) due to charge at origin Ex = kq/r^2

= 9e9*1e-7/(0.025^2 *2) * cos 45 degree

= 509117 N/C

Ey = 509117 N/C

C) by symmetry, Ex = -509117 N/C

   Ey = 509117 N/C

D) ccombined E = 1018234 N/C parallel to y axis

E) force = 1018234*10^-8 N parallel to y axis

  

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