An atomic electron (charge q) circles about the nucleus (charge Q) in an orbit of radius r;
Question:
An atomic electron (charge q) circles about the nucleus (charge Q) in an orbit of radius r; the centripetal acceleration is provided, of course, by the Coulomb attraction of opposite charges. Now a small magnetic field dB is slowly turned on, perpendicular to the plane of the orbit. Show that the increase in kinetic energy, dT, imparted by the induced electric field, is just right to sustain circular motion at the same radius r. (That's why, in my discussion of diamagnetism, I assumed the radius is fixed. See Sect. 6.1.3 and the references cited there.)
Step by Step Answer:
T mv 120 After the magnetic field is on the electron circles in a new orbit of radius r and velocit...View the full answer
Related Video
A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field. The video shows the practical implications of magnetic force around different objects.
Students also viewed these Electrodynamics questions
-
A satellite is moving in circular orbit of radius R about Earth. By what fraction must its velocity v be increased for the satellite to be in an elliptical orbit with rmin = R and rmax = 2R?
-
A satellite in a circular orbit of radius r has period T. A satellite in a nearby orbit with radius r + r, where r < < r, has the very slightly different period T + T. a. Show that T/T = 3/2 r/r b....
-
In Figure a small circular hole of radius R = 1.80 cm has been cut in the middle of an infinite, flat, non-conducting surface that has uniform charge density = 4.50pC/m2. A z axis, with its origin...
-
Four hospitals located in one county are cooperating to establish a centralized blood-bank facility to serve them all. On an xy coordinate grid of the county, the hospitals are found at the following...
-
Why is simply counting currency an inadequate measure of money?
-
Several of Jae Corporation's major customers experienced cash flow problems in 2014, mainly due to their increasing labour and production costs in 2013 and 2014. As a result, Jae's accounts...
-
What is the major focus of tests of controls for perpetual records and for cost records?
-
Turn to Part C of the Systems Analysts Toolkit and review the concept of net present value (NPV). Determine the NPV for the following: An information system will cost $95,000 to implement over a...
-
Suppose that China and Germany each have 1,000,000 labour hours available for the pro- duction of cell phones and computers. The number of labour hours needed to produce cell phones and computers in...
-
Joy's Frozen Yogurt shops have enjoyed rapid growth in northeastern states in recent years. From the analysis of joy's various outlets, it was found that die demand curve follows this pattern: Q =...
-
Electrons undergoing cyclotron motion can be speeded up by increasing the magnetic field; the accompanying electric field will impart tangential acceleration. This is the principle of the betatron....
-
The current in a long solenoid is increasing linearly with time, so that the flux is proportional to t: = at. Two voltmeters are connected to diametrically opposite points (A and B), together with...
-
Suppose that A is finite and f is 1-1 from A onto B. Prove that is finite.
-
How are the amplitude, frequency, and phase of a steady-state vibration related to those of the applied harmonic force for an undamped system?
-
Why is damping considered only in the neighborhood of resonance in most cases?
-
The amplitude of an underdamped system subject to an initial displacement \(x_{0}\) and initial velocity 0 is given by: a. \(x_{0}\) b. \(2 x_{0}\) c. \(x_{0} \omega_{n}\)
-
How is decibel defined?
-
How do you find the response of a viscously damped system under rotating unbalance?
-
(a) Is the wave speed \(c\) of the pulse in Figure 16.3 constant? (b) Determine the wave speed if the distance between the centers of adjacent beads is \(5.0 \mathrm{~mm}\). Figure 16.3 Video frames...
-
If |62x|>9, which of the following is a possible value of x? A. 2 B. 1 C. 0 D. 4 E. 7
-
When the investors investment horizon is less than the Macaulay duration of the bond she owns: A. The investor is hedged against interest rate risk. B. Reinvestment risk dominates, and the investor...
-
An air rifle shoots a lead pellet by allowing high-pressure air to expand, propelling the pellet down the rifle barrel. Because this process happens very quickly, no appreciable thermal conduction...
-
Oxygen at pressures much greater than 1 atm is toxic to lung cells. Assume that a deep-sea diver breathes a mixture of oxygen (O2) and helium (He). By weight, what ratio of helium to oxygen must be...
-
A vessel contains 1.00 X 104 oxygen molecules at 500 K. (a) Make an accurate graph of the MaxwellBoltzmann speed distribution function versus speed with points at speed intervals of 100 m/s. (b)...
-
Athens Gas Station has figured out the weekly demand distribution for their gas sales. Each gallon of gas sold at the pump results in a profit of 10 cents/gallon and any lost sales results in a cost...
-
1. The maximum pressure an eardrum can withstand without rupturing is Pmax = 3.0102 Pa. Assume a sound is made at that pressure. If the density of air is, p=1.20 kg/m, and the speed of sound is 340...
-
52. A wave is sent down a string with a linear mass density of 1.600 x 10-4 kg/m. The wavefunction that describes this wave is: y(x,t) = (0.021 m)*sin{(2.00 rad/m)*x + (30.0 rad/s)*t} What is the...
Study smarter with the SolutionInn App