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Two hollow plastic globes of radius 4.50 cm and 8.40 cm are concentric with each other. The globe of radius 4.50cm has a charge of -12.5 nC distributed evenly on its surface. Similarly, the other globe has a charge of +8.25 nC evenly distributed over its surface. If the electric potential is zero at an infinitely large distance, determine the resultant electric potential from the two globes at i) r = 0 cm ii) r = 6.00 cm iii) r = 8.40 cm.
Consider two point charges: one carrying a negative charge of -2.0 nC and the other carrying a positive charge of +5.0 nC. Assume the positive charge is located at x = 0 cm, and the negative charge is at x = 2.0 cm on the x-axis. At what point or points on the x-axis does the electric potential become zero?
At a scientific institute, researchers have recently uncovered an empirical equation that describes the electric potential between two electrodes: V(x) = 100 ln(1 + x/5). Here, x is measured in meters, and it is the distance originating from the first electrode and extending towards the second electrode. The separation between the electrodes is 10 meters. Determine the magnitude of the electric field strength when positioned 3.5 meters away from the first electrode.
In the figure below, which point P or Q possesses a greater electric potential?
A metallic rod of length L and radius R is charged to a potential of 800 V. A second metallic rod of length 2L and radius 2R is charged to a potential of 1600 V. The rods are placed end-to-end, such that their flat circular faces are in contact, and then separated. Calculate the potential of each rod after they have been separated. Note: R << L.
Determine the electric field and the electric potential at the coordinates (x, y) = (4.0 m, 2.0 m). You are given a region of space where the electric field is characterized by the following equation: Ē = (200x î + 400y ĵ) V/m, where x and y are expressed in meters. It is important to note that the electric potential is set to zero at the origin and the potential difference remains the same regardless of the path taken to connect two points.
An electric fence is constructed from an insulating rod of radius 2 cm. The rod has a homogenous linear charge density of 10 nC/m. Determine the distance of a point p measured from the surface of the rod, such that the potential between the point and the rod's surface is 150 V.