magnetic flux...induced emf...etc...
Consider a rectangular loop of length l (parallel to x) width w (parallel to y) total resistance R, is being pulled at constant force F=fx. If at tiem t=0 it is aligned with the front edge at x=0, has velocity vx, and the magnetic field everywhere is B= 0 x<0 B= BoZ x>0 solve and draw plots for the time dependence of: ...continues
A static electric charge is distributed in a spherical shell of inner radius R_1 and outer radius R_2. The electric charge density is given by Rho=a+br, where, r is the distance from the center, and zero everywhere else. (a) Find an expression for the electric field everywhere in terms of r. b) Find expressions for the ele ...continues
Given two plane-parallel electrodes, space d, at voltages 0 and V_0, find the current density if an unlimited supply of electrons at rest is supplied to the lower potential electrode. Neglect collisions.
An electric charge Q is uniformly distributed over the surface of a sphere of radius r.Show that the force on a small charge element dq is radial and outward and is given by dF=1/2 Edq, where, E=1/(4 Pi Epsilon_0)(Q/r^2) is the electric field at the surface of the sphere.
Understanding the electric field
An electron is accelerated eastward at 1.4x109 m/s2 by an electric field. Determine the magnitude and direction of the electric field.
Three charges are located at the vertices of a triangle. Compute the tension in the strings.
Three equal charges, Q coulombs are located at the vertices of a triangle as shown in the figure. The charges are connected together by strings as shown in the figure. If the length of each string is L, determine the tension in the strings.
A certain charge Q is divided into two parts q and Q-q. How the charges Q and q must be related so that when q and (Q-q) placed at a certain distance apart experience maximum electrostatic repulsion.
Conservation of momentum applied to moving charges.
Two identical particles of mass m carry a charge Q each. Initially one is at rest on a smooth horizontal plane and the other is projected along the plane directly towards the first particle from a large distance, with the speed v. Find the closest distance of approach.
Electrostatic energy stored in the capacitor.
(1) A parallel plate capacitor of plate area 2m2 and palte separation 5mm is charged to 10,000V in vacuum. Compute the capacitance, charge, charge density, field strength in the space between the plates and also the energy stored in the capacitor. (2) The charging battery is removed and the space between the plates is filled ...continues
Radioactivity - Rate of beta decay
A radioactive source in the form of a metal sphere of diameter 10^−3m emits beta particles at a constant rate of 6.25 x 10^10 particles per second. If the source is electrically insulated, how long will it take for its potential to rise by 1 volt, assuming that 80% of emitted beta particles escape from the surface.