Point charges q_1 = +2.00 mu C and q_2 = 2.00 mu C are placed at adjacent comers

Question

Point charges q_1 = +2.00 mu C and q_2 = 2.00 mu C are placed at adjacent comers of a square for which the length of each side is 3 00 cm Point a is at the center of the square, and point b is at the empty corner closest to q_2. Take the electric potential to be zero at a distance far from both charges. What is the electric potential at pant a due to q_1 and q_2? Express your answer with the appropriate units. What is the electric potential at pant b? Express your answer with the appropriate units. A point charge q_3 = -2.00 mu C moves from point a to point b How much work is done on q_3 by the electric forces exerted by q_1 and q_2? Express your answer with the appropriate units.

Explanation / Answer

let coordinates of the square's corners are:

q1 : (0,0)

q2: (0.03,0)

other two corners are at (0,0.03) and (0.03,0.03)

then point a is at (0.015,0.015) and point b is (0.03,0.03)

part A:

distance of a from q1 is equal to distance of a from q2.

potential=(k*q1/distance)+(k*q2/distance)

=(k/distance)*(q1+q2)

as q1+q2=0

total potential =0 volts

part B:

distance of point b from q1=0.04243 m

distance of poitnt b from q2=0.03 m

potential=9*10^9*((2*10^(-6)/0.04243)-(2*10^(-6)/0.03))=-175771.8595 volts

part C:

work done =potential difference*charge

=175771.8595*2*10^(-6)

=0.35154 J

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