In the region shown in the image, there is a uniform electric field of magnitude 21.7 N/C which points in the positive x-direction, Points 2, 3, and 4 are all 0.749 m away from point 1, and the angle o = 46.4°. Calculate the following potential differences V,- V, where i and j indicate the numbered points. V2 - V = V

y R The figure above represents a thin, circular ring of radius R= 5.8 m. The ring has a uniformly distributed charge Q=3.4 pC and point P is x = 14.8 m away from the center of the ring. (k = 9x10° V -m -c-1,p = 10-0) a) Calculate the electric potential value at point P and express your answer in SI units. Vp= V b) Calculate the electric field at point P. Ep=

B

The figure below shows the equipotential surfaces of an electric dipole in the xy-plane. The x and y scales are in units of meter. The charge on the left is positive. Each color change represents a a change in the potential of 5 V. Estimate the magnitude and direction of the electric field in units of V/m N/C at x 13.5 m, y = 13.5 m. = 24.5 22.5 20.5 18.5 16.5 14.5 12.5 10.5 8.5 6.5 4.5 2.5 0.5 0.5 2.5 4.5 6.5 8.5 10.5 12.5 14.5 16.5 18.5 20.5 22.5 24.5

A uniform electric field of magnitude 345 V/m is directed in the negative y direction as shown in the figure below. The coordinates of point are (-0.800,-0.450) m, and those of point Ⓡare (0.550, 0.550) m. Calculate the electric potential difference VB - VA using the dashed-line path. + A E