Consider a thin, uniformly charged rod of length L with total charge Q and test points A, adistance a from the center of the rod and B a distance b from the rod.Find the potential difference between A and B first by integrating the point source potential tofind VA and VB and subtracting, and then by integrating the field. Compare the results in thelimit of L>>(a and b).To test the far field limit, compare the appropriate result to the case where L is much less thanboth a and b. You may need to do this one numerically.

To find the potential difference between points A and B, we can first find the potential at each…

Answered: Consider a thin, uniformly charged rod…

Similar questions

Electrostatic precipitators use electric forces to remove pollutant particles from smoke, in particular in the smokestacks of coal-burning power plants. One form of precipitator consists of a vertical, hollow, metal cylinder with a thin wire, insulated from the cylinder, running along its axis (Figure 1). A large potential difference is established between the wire and the outer cylinder, with the wire at lower potential. This sets up a strong radial electric field directed inward. The field produces a region of ionized air near the wire. Smoke enters the precipitator at the bottom, ash and dust in it pick up electrons, and the charged pollutants are accelerated toward the outer cylinder wall by the electric field. Suppose the radius of the central wire is 90.0 pm, the radius of the cylinder is 14.0 cm, and a potential difference of 50.0 kV is established between the wire and the cylinder. Also assume that the wire and cylinder are both very long in comparison to the cylinder radius.…
Find the electric potential distribution of charged spherical surface with the charge q and the radius R
Q:- A conducting sphere of radius a bearing no charge is placed an intially uniform electc field E,, the direction of E perpendicular to the sylinder axis . Find the potential at points exterior to the sylinder, and also the charge density on the sylindrical surface ?
A dielectric slab with thickness d is inserted halfway into the capacitor in the example (covering half the area). Given that d = 0.4 cm, A = 38 cm2, and ? = 4, find the equivalent capacitance in pF.
Use the dipole approximation to find what the potential (magnitude and sign) would be at point A and point B
A 3*10°C charge is at (-1, 0). A -4*10°C charge is at (2, 0). (a) Calculate the field at the origin. (b) Calculate the voltage at the origin. (c) If an electron is placed at the origin, what force would act on it? What PE would it have? Draw the field lines and equipotentials for question 1. Make them as accurate as you can.
Four equal positive charges, of magnitude 10-6 C are situated at the corners of a square, with a length of side equal to 0.25m. A small test charge of 10-9 C is placed at location X, in the exact center of the square. What is the magnitude of the potential energy of the test charge and what is the voltage at X? If the test charge is released what is its final velocity, taking its mass to be 1.5g?
A parallel-plate capacitor has circular plates of 6.21 cm radius and 1.18 mm separation. (a) Calculate the capacitance. (b) What charge will appear on the plates if a potential difference of 164 V is applied?
The charges on two nested sphere shells with separate centers and radii R and 2R are homogeneously distributed and the charge amounts (q and -2q) are shown below. For the region from the center (C) point to infinity (P), draw the graph of the electric field and potential by showing the values on it according to the distance. Note: Specify the direction of field E.
Consider a shell of internal radius R and outer radius 2R. In the shell, there is some charge uniformely distributed with density p. Calculate the potential difference between the center of the shell, call it A, and a point B on the outer surface of the shell. Edit View Insert Format Tools Table
When a battery is connected across an empty capacitor, the charge on its plates is Q0 (fig. a). If a dielectric of dielectric constant ?κ is inserted between the plates while the battery remains in place (fig. b), what is the expression for the induced charge on the dielectric surface in terms of the original plate charge Q0?
Two identical balls each having a density pare suspended from a common point by two insulating strings of equal length. Both the balls have equal mass and charge. In equilibrium, each string makes an angle with the vertical. Now, both the balls are immersed in a liquid. As a result, the angle does not change. The density of liquid is o. Find the dielectric constant of the liquid.

SEE MORE QUESTIONS