Physics Homework Solutions

flowing water

Consider a body of flowing water, such as a river. We can describe the flow of river water mathematically by a vector field that describes the water velocity v at every point in the river at an instant of time. Now imagine a small, flat surface submerged in the river. (If you want to visualize something specific, imagine a squar ...continues

Lenz's Rule

Is it necessary for a current to actually flow, or only that you can imagine one flowing if a conductor were present? Describe using Lenz's rule

Magnetic Field

A 1140nF capacitor with circular parallel plates 1.12cm in diameter is accumulating charge at the rate of 20.7mC/s at some instant in time. What will be the induced magnetic field strength 10.8cm radially outward from the center of the plates? What will be the value of the field strength after the capacitor is fully charged?

Determining e/m

I am trying to derive the following from the three equations listed below and need help setting it up 1 √e/m √e/m ---- = ------- Bi + --------- Be r √2V √2V (1)B= Bi - Be( B the net field ) (2)1/2 mv^2 = eV or e/m = v2/2V (e is the charge, m is the mas ...continues

Magnetic Field

In a region of space, the magnetic field increases at a constant rate. This changing magnetic field induces an electric field that (a) increases in time (b) is conservative (c) is in the direction of the magnetic field (d) has a constant magnitude. And why explain? Induced electric field E in Equation 31.9 (see attachment) is ...continues

A charged plate in a water solution results in counterions, what is potential and distribution?

The situation is as follows: Put a charged plate in a solution - the sign of the charge doesn't matter - in response, counterions will form in the solution such that - at infinite - the total electric field cancels. However, nearer the plate, you have a distribution of these counterions that is determined by the potential - V ...continues

Proving Gauss Law for arbitrary charge.

Gauss law for arbitray charge distribution is proved in the four part problem. Look at the attached file for details.

measurment of physiology

The axial magnetic field at a distance from a magnet falls-off as l/d3(note: 3 is the power of d mean d cube its not multiplying with d) where d is the distance to the magnet. A small, strong, permanent magnet generates a magnetic field that is measured by a small probe placed on its axis. It is desired to use the strength of th ...continues

Some Questions About Basic Quantum Physics

1. According to the classical theory of physics, the energy radiated by a blackbody approached infinity as the wavelength of the emitted light approaches zero. a) Why is this considered a problem for classical physics? b) Max Planck solved this problem is 1990. What was the key to the solution? Please see attached for all ...continues

Electrostatic field and potential.

I would appreciate help in completing the proof of the equation on the second line of the attached file.

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