1. A battery with 12-V emf has a terminal voltage of 11.4 V. When it delivers a delivers a current of 20 A to the starter of a car. What is the internal resistance r of the battery? A) how much emf is delivered but the battery above when it delivers a current of 20 A? (b) how much of this power is delivered to the starter? ...continues
Point charge above a conducting plate
A point charge Q lies at a distance D above a large grounded conducting plate. a) Calculate the surface charge density induced on the plate as a function of the radius r from the foot of the perpendicular drawn from the charge. b) Show that the total induced charge is -Q.
Field of a charge inside a hollow conducting sphere
(See attached file for full problem description) A hollow grounded conducting sphere of radius a contains a point charge Q at the radius b as shown in the figure (see attachment) a) Show that the field inside the sphere is the same as if there were no sphere and, instead, a charge Q’ = -(a/b)Q at D = (a/b)a. You can prov ...continues
Gradient, divergence and Laplacian in spherical coordinates.
See attached file.
Electrostatic clamps are used for holding workpieces while they are being machined, for holding silicon wafers during electron beam microfabrication, etc. They comprise an insulated conducting plate maintained at a potential of several thousand volts covered with a thin insulating sheet. The workpiece or the wafer rests on the ...continues
A parallel plate capacitor with a nonuniform dielectric
A parallel plate capacitor with a nonuniform dielectric The dielectric of a parallel plate capacitor has a permittivity that varies as ero+ax, where x is the distance from one plate. The area of a plate is A, and their spacing is s. (a) Find the capacitance. (b) Show that, if er varies from ero to 2ero, then c is 1.44 tim ...continues
Electrostatic potential energy of a distribution of charges.
Three point charges are on the x axis: q1 at the origin, q2 at x=3 m, and q3 at x= 6 m. Find the electrostatic potential energy for (a) q1=q2=q3=2uC (u is the fancy u sign); (b) q1=q2=2uC, and q3 -2uC; and (c) q1=q3 = 2uC, and q2= -2uC.
See attached file for full problem description.
Equality of two integrals and the volume integral
Please just complete the first part, no other restrictions on the density. See attached file for full problem description.
Derive the Equation of Motion. See attached file for full problem description.
