3a calculate the total electric potential energy for the...

3.(a) Calculate the total electric potential energy for the three point charges. (Answer: −8.99 \times 10−9 J) 3.(b) Calculate the potential at point X, in the centre (ac- tually, the centroid) of the triangle. (Answer: 7.8 \times 101 J/C) 3.(c) Calculate the potential at point Y on the x–axis, 1 m to the right of q2. (Answer: 4.4 \times 101 J/C)

1. Three point charges are arranged along the x axis. Charge q1 is at the origin and has a value of +6nC. Charge q2 is located at x= 0.05 m and is –8 nC. Charge q3 is located at the position x = 0.08 m and is + 12 nC. a. What is the Potential Energy of q3? b. What is the electric potential at x = 0.1 m? c. What is the Potential Energy on a charge of –14 nC which is placed at x = 0.1 m? 2. You have an equilateral triangle as shown. Each side is 0.01 m and a charge sits at each corner. At the base, the two charges Q1 and Q2 are 2 nC. At the vertex the charge Q3 is 1 nC. What is the potential energy of Q3? 3. If I replace Q2 with a -2 nC charge, now what is the potential energy of Q3? 4. Look at the triangle again for problem 2. Remove Q3. What is the electric potential at the vertex? 5. Now Q2 is -2 nC as in problem 3. Now, for the dipole, what is the electric potential at the vertex?

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