A d B a) Find the potential due to the three charges A = 3 µC, B = 8 µC and C = –2 µC at the lower left corner (d = 4 cm): V b) A charge -4 µC is placed at the lower left corner. What is its potential energy? J c) What is the potential energy of the system of four charges?

Consider the figure shown below. Q1=1.5×10−9 C and Q2=−8.4×10−9 C. Charges Q1, Q2, and point '3' are all located at integer coordinates that you can read off of the graph. Assume the electric potential at infinity is zero. a) Calculate the electric potential at the location marked '3'.

28. Consider the four particles shown, with q1 = -40.0 µC, q2 = -20.0 µC, q3 = 15.0 µC, and q4 = -25 µC. The square has sides of length a = 25.0 cm. %3! y B a A a 93 a) What is the change in the electric potential energy of the system of the four charges in the configuration shown in the figure if they were originally infinitely far away? b) Charges q3 and q4 are now moved to points A and B, respectively. What is the change in potential energy of the system after these charges are moved? c) What are the magnitude and direction of the electric field at the location of charge q4 due to the other three charges? d) What is the initial acceleration of the charge q4 due to the electric force exterted by the other three charges on q4 if m4 = 40.0 g? e) With what speed is charge q4 (with m4 = 40.0 g) moving when it is infinitely far away from the other charges? %3D

.

Consider a charge +q in a uniform electric field E. Work is exerted to move the particle a distance s in a direction pointing opposite to the electric field. By how much has the particle’s potential changed? A) Ed/q B)E/s C)Eqs D)Es E)none of the above

6) A +4.0 μC and a -4.0 µC point charge are placed as shown in the figure. Find the electric potential at points A and B, and find the electric potential difference AVBA (k = 1/4neo=9.0 × 10° N·m²/C²) B 0.30 m +4.0 μC 0.40 m -4.0 μC 0.30 m A

) The charge on the left with magnitude +4.0 C moves from point A to B where electric field points towards the +x axis as depicted in the figure on the right. The potential energy decreased by 40 J. It can be concluded that point B is Ax F = qË O a. 10.0 V lower in potential than point A O b. 10.0 V higher in potential than point A O C.40.0 V lower in potential than point A O d. 40.0 V higher in potential than point A

X 2) Four charges are arranged in the pattern shown. They have equal magnitudes of 1nC but have the signs shown. Three locations, labeled X, Y, and Z, are highlighted. 2 1 A 2 m 2 m 2 m i. The electric potential energy stored by this arrangement of charges is A. Positive Negative B. C. Zero ii. The electric potential at point Z (using the standard reference point) is A. B. A. 0 B. 1.5 V C. 4.5 V D. 6.0 V E. 12 V iii. The electric potential at point X (using the standard reference point) is 3.0 V 3.3 V C. 4.5 V D. 7.5 V E. 18 V 2 m 3 (+) 2 m 4 m 4

Three point size charges are situated in the points A B and C of an equilateral triangle where the length of the side is 8cm.qA=qC=2x10-8C qB=-2x10-8C A) What is the total force acting on each of the points A,B,CB) What is the electric potential in the center of the triangle?

1. Two point charges q1 = +26µC and q2 = −17.5µC are 64 cm apart.a. What is the potential energy of the system of two charges?b. What is the electric potential at a point between them 24 cm from q1?