Two positive charges, each with Q = +13 µC, arefixed to the x -axis at x = + a a

Question

Two positive charges, each with Q = +13 µC, arefixed to the x-axis at x = +a andx = -a, where a = 3 m.

(a) Find the electric potential at point A on they-axis where (xA,yA) = (0, b) and b = 4 m.Take the zero of potential to be at infinity.

V(A) = V    

(b) A particle with charge q = -4 µC and massm = 2.1 x 10-4 kg is released from rest atpoint A. Find its speed at the origin.

v(O) = m/s    

(c) Can the particle escape to infinity?

Answer 1 for yes or 0 for no:      *
0   OK

Explanation / Answer

V(A)=2k*Q/(a2+b2)=46800 V kinetic energy=change in potential m.v2/2=|q|.(2k*Q/a-V(A)) =>v{max}=34.5 m/s cannot escape to infinity => answer 0 energy required to escape infinity from the origin E=q.(0-V(O))=|q|.2k*Q/a=0.312 >m.v2/2=0.125

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