(a) Number i B +650.0 V +550.0 V +150.0 V D +250.0 V +450.0 V +350.0 V $2.0 cm Units (b) Number i Units

An electric dipole consists of two charges of equal magnitude and opposite sign separated by a distance 2a as shown in the figure below. The dipole is along the x axis and is centered at the origin. The electric potential at point R on the positive x axis is given by the following equation: 2kega VR = K₂ Z = K₂ VR = lim When x is much greater than a, the following approximation can be used: 2k ga 2kega x2-a² (x >> a) +² R + x>>a V = (a) Use the information above to find the electric potential created by the dipole described above at the point (3a, 0). (Use any variable or symbol stated above along with the following as necessary: K₂.) (b) By what percentage does your answer differ from the result of the approximate expression that is valid when x is much greater than a. %

The picture diagram below has been given to you. There are 3 charges represented by balls along the y axis. Please find an expression for the electric potential at point P when d<

Problem 4. The two charges in figure below are separated by a distance d = 2.00 cm, and Q = 15.00 nC. (ε = 8.85x10-¹² C²/N·m², k = 9 x10° N·m²/C², 1nC= 10-⁹ C). (a) Find the electric potential at A. (b) Calculate the electric potential at B. (c) What is the work done by the electric field to move a charge of -10.00 nC from A to B. d g d B 2Q