Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Point charges q1=+2.00C and q2=2.00C are placed at adjacent corners of a square

ID: 1412120 • Letter: P

Question

Point charges q1=+2.00C and q2=2.00C are placed at adjacent corners of a square for which the length of each side is 2.50 cm . Point a is at the center of the square, and point b is at the empty corner closest to q2. Take the electric potential to be zero at a distance far from both charges. What is the electric potential at point a due to q1 and q2?What is the electric potential at point b? A point charge q3 = -6.00 C moves from point a to point b. How much work is done on q3 by the electric forces exerted by q1 and q2?

Explanation / Answer

Potential at a = kq1/r1 + kq2/r2

= 9e9*2e-6/(0.0125sqrt2) - 9e9*2e-6/(0.0125sqrt2) = 0 V

Potential at B = kq1/r1 + kq2/r2

= 9e9*2e-6/(0.025sqrt2) - 9e9*2e-6/(0.025) = -210883 V

work done = change in KE = - change in PE

= 210883*(-6E-6) J

= -1.265 J