Physics Homework Solutions

Resistive film

A square film of Nichrome, an alloy of nickel and chromium, has copper electrodes deposited on two opposite edges. Show that the resistance between the electrodes depends only on the thickness of the film on its conductivity, as long as the film is square. This surface resistance is expressed in ohms per square.

Electric Fields

1) Draw electric field lines for a quadrupole formed of charges +Q, -Q, +Q, -Q at the corners of a square. Charges on a diagonal have the same sign. (On a field line, dy/dx = Ey/Ex)

Electric Dipole

Show that the energy in the field of an electric dipole of moment p outside a sphere of radius R is p^2/(12*pi*epsilon nod*R^3)

Energy in the field of charged conducting sphere

A conducting sphere of radius R carries a charge Q. a) Calculate stored energy b) Calculate the radius R(sub 0.5) within which the field energy is one half the total stored energy. c) Calculate the radius R(sub0.9)

Ccapacitors

See attached file for full problem description.

Pressure caused by the repulsion of charges.

A balloon made of light conducting material could be kept approximately spherical by connecting it to a high voltage supply. The balloon has a diameter of 100 millimeters, and the maximum breakdown field in air is 3 megavolts/meter. a) What is the maximum permissible voltage? b) What gas pressure, in atmospheres, inside the ...continues

Ratio of electrostatic Energy stored in the capacitor combined in series and parallel.

Electrostatic Energy. See attached file for full problem description.

Finding Electric Fields

8. A sphere of radius R1 carries a uniform charge density p throughout its volume except for a small spherical hollow volume of radius R2 located at distance a from the center (and fully contained within the larger sphere). a) Calculate the electric field E at the center of the hollow sphere. [Be careful, you can’t just ap ...continues

Resistors

Resistors. See attached file for full problem description.

Resistors

Resistors. See attached file for full problem description.

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