Draw the electric field lines near a point charge +2q. Do the same for a point c

Question

Draw the electric field lines near a point charge +2q. Do the same for a point charge -3q. Draw the electric field lines in the vicinity of two charges. -3q and +q. Calculate the electric field 5.00 m from a 3.00 mC point charge. (Answer: 1.80 times 10^6 N/C) At this distance, what force docs the field exert on a 2.00 mu C charge on the point charge? (Answer: 2.16 N) An infinitely long line charge of linear charge density lambda = 0.60 mu C/m lies along the z-axis, and a point charge q = 8.0 mu C lies on the y-axis at y = 3.0 m. Find the net electric field (magnitude and direction) at the point P on the x axis at x = 4.0 m. (Answer: Magnitude E = 5.3 kN/C)

Explanation / Answer

(6) a. The electric field will be given as :

using a formula, we have

E = ke q / r2 = (9 x 109 Nm2/C2) (3 x 10-3 C) / (5 m)2

E = 1.08 x 106 N/C

b. At this distance, force exerted on a charge will be given as :

we know that, F = q E = (2 x 10-6 C) (1.08 x 106 N/C)

F = 2.16 N

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