General Physies with Cal II PHY 214-03 (Fall 2018) Exam Professor: Dr. T. X. Zha
ID: 1882237 • Letter: G
Question
General Physies with Cal II PHY 214-03 (Fall 2018) Exam Professor: Dr. T. X. Zhang Name Solve the following three problems 1. (40 pts) Three point electrie charges are held in fixed positions as shown in the Figure., Assume gi -2 nC, g2 5 nC, g -3 nC. The distances among charges in meters are labeled in the Figure. (1) What is the Coulomb force on gi by g? (2) What is the total electric potential energy of the system? (3) What is the electric potential at the point P that is the center point between q, and q? 92 91 9sExplanation / Answer
Givne that,
q1 = 2 nC
q2 = 5 nC
q3 = -3 nC
(a)
Force on q1 by q3,
F = kq1q3 / r^2
F = 9*10^9*2*10^(-9)*3*10^(-9) / 8^2
F = 8.43*10^(-10) N
(b)
Total electric potential energ of system,
PE = kq1q2 / r1 + kq1q3 / r2 + kq2q3 / r
PE = 9*10^9*10^(-18) * (2*5 / 5 + 2*-3 / 8 + 5*-3 / 5)
PE = -15.75*10^(-9) J
(c)
Electric potential at point P,
V = kq1 / r1 + kq2 / r2 + kq3 / r3
here, r2 = sqrt (5^2 - 4^2) = 3
V = 9*10^9*10^(-9) * (2 / 4 + 5 / 3 - 3 / 4)
V = 12.75*10^(-9) V
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