Four electric charges are at the corners of a square of side a. Using a standard

Question

Four electric charges are at the corners of a square of side a. Using a standard Cartesian coordinate system the charge at point x = 0, y = 0 is +q. The remaining three charges at the other corners of the square are-q. (a) Find the magnitude and direction of the electric field at the position of the charge -q, the coordinates of which are x = a, y = a. (b) What is the electric force on this charge? 2. A proton accelerates from rest in a uniform electric field of 640 N/C. At some time later, its speed is 1.20 times 10^6 m/s (nonrelativistic since v is much less than the speed of light). The mass of a proton is 1.67 times 10^-27 kg. a) Find the acceleration of the proton. b) How long does it take the proton to reach this velocity? 3. A uniformly charged rod of length I is bent into the shape of a semicircle. If the rod has a total charge of -Q find the magnitude and direction of the electric field at 0, the center of the semicircle. 4. Which one of the diagrams below is not a possible electric field configuration for a region of space which does not contain any charges? Why?

Explanation / Answer

2) a) F = Eq = ma
a = Eq/m

a = 640 * (1.6E-19) / 1.67E-27

a = 6.13*10^10 m/s^2

b) v(f) = v(i) + at, where v(i) = 0 if it started from rest.
so t = v(f)/a

t = (1.2*10^6) / (6.13*10^10)

t = 1.96*10^-5 s

(4) Option - (d) . Electric Field lines cannot cross

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