In the rectangle of the figure the sides have lengths 5.18 cm and 12.5 cm, q1 =

Question

In the rectangle of the figure the sides have lengths 5.18 cm and 12.5 cm, q1 = -5.92 C, and q2 = +2.29 C. With V=0 at infinity, what is the electric potential at (a) corner A and (b) corner B? (c) How much work is required to move a charge q Subscript 3 Baseline equals plus 3.05 C from B to A along a diagonal of the rectangle? (d) Does this work increase or decrease the electric potential energy of the three-charge system? Is more, less, or the same work required if q3 is moved along a path that is (e) inside the rectangle but not on a diagonal and (f) outside the rectangle?

Explanation / Answer

a)

Electric potential at point A

VA =KQ1/r1 +KQ2/r2 =(9*109)[-5.92/0.125 +2.29/0.0518]*10-6

VA=-28363.55 Volts

b)

ELectric potential at point B

VB =KQ1/r1 +KQ2/r2 =(9*109)[-5.92/0.0518 +2.29/0.125-]*10-6

VB=-863,691.43 V

c)

Work donw

W=Q3(VA-VB)=(3.05*10-6)(-28363.55-(-863691.42))

W=2.5478 Joules

d)

increases Since postive amount of work done in moving charge from B to A

e)

same amount of work is required

f)

same amount of work is required since work done is independent of path

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