Can you calculate the components of the electric field? Be sure to do all parts

Question

Can you calculate the components of the electric field? Be sure to do all parts A - C! Suppose a particle of charge q is positioned as shown. The distance between the particle and point A is r and the angle that they make above the horizontal is 30°.

Can you calculate the components of the electric field? Be sure to do all parts A- C! Suppose a particle of charge q is positioned as shown. The distance between the particle and point A is r and the angle that they make above the horizontal is 30°. Point A 0 30 A. What is the expression for the electric field due to particle 1 at point A? Use k for the Coulomb constant. Now suppose particle 1 is removed and particle 2 is added to the system, as shown below. The distance between particle 2 and point A is r and particle 2 has charge q as well. Point A

Explanation / Answer

formula for electric field due to point charge is

E = kq/ r^2

Ex = kq/ r^2 cos theta

Ey = kq/r^2 sin theta

Ex =  kq/ r^2 cos 30 = 0.866 kq/r^2

Ey = kq/r^2 sin 30 = 0.5 kq/r^2

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