Question

A uniform electric field that has a magnitude of 9.0 × 105 N/C and points at 30◦ with respect to the positive x-axis. Determine x and y components of the force that would be exerted on the following charges by this field:

a) 5.0 nC point charge

b) −2.0 nC point charge

c) −5.0 nC point charge

d) 50 nC point charge

I am really not sure where to start with this question if someone could please point me in the right direction. I am looking for steps and information or equations to help me answer the question, not just the answers please!

Answer 1

F_x = Fd cos theta = +9 times 10^5 N/c times (5.0 times 10^-9) cos 30 = 9 times 10^5N /c times (5.0 times 10 ^-9) (0.8660) = 38.47 times 10 ^4 Fy = Fd = 9 times 10^6 N /c times 5.0 times 10^-9 times sin 20 = 9 times 10^5 N /c times 5 times 10^-9 times 0.5 = 22.5 times 10^-4 vm Fx = Ed ccd, theta = 9 times 10^5 times -2.0 times 10^-2 times cos 30 = -18 times 15^-4 times (0.8660) = 15.288 Voltmeter Fy = Fd sintheta = 9 times 10^5 times -2.0 times 10^-9 sin 30 = 9 times 10^5 times -2.0 times 10^-9 times 0-5 =9 times 10^-4 vm Fx = Ed cos theta 9times 10^4 N /c x - 5.0 times 10^-9 or 30 = -45 times 10^-4 times 0.8660 = -38.97 times 10^-4 Fy = Ed sin theta