Chapter 23: Q. 38- Excercises And Problems (page 655)
shows three charges at the corners of a square. Write the electric field at point in component form.
Short Answer
The Electric filed at point is
Chapter 23: Q. 38- Excercises And Problems (page 655)
shows three charges at the corners of a square. Write the electric field at point in component form.
The Electric filed at point is
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Get started for freeYou’ve been assigned the task of determining the magnitude and direction of the electric field at a point in space. Give a step-by-step procedure of how you will do so. List any objects you will use, any measurements you will make, and any calculations you will need to perform. Make sure that your measurements do not disturb the charges that are creating the field.
An infinite plane of charge with surface charge density has a -diameter circular hole cut out of it. What is the electric field strength directly over the center of the hole at a distance of ?
Hint: Can you create this charge distribution as a superposition of charge distributions for which you know the electric field?
In Problems 63 through 66 you are given the equation(s) used to solve a problem. For each of these
a. Write a realistic problem for which this is the correct equation(s).
b. Finish the solution of the problem
In a classical model of the hydrogen atom, the electron orbits the proton in a circular orbit of radius. What is the orbital frequency? The proton is so much more massive than the electron that you can assume the proton is at rest.
The combustion of fossil fuels produces micron-sized particles of soot, one of the major components of air pollution. The terminal speeds of these particles are extremely small, so they remain suspended in air for very long periods of time. Furthermore, very small particles almost always acquire small amounts of charge from cosmic rays and various atmospheric effects, so their motion is influenced not only by gravity but also by the earth's weak electric field. Consider a small spherical particle of radius , density , and charge . A small sphere moving with speed v experiences a drag force , where is the viscosity of the air. (This differs from the drag force you learned in Chapter 6 because there we considered macroscopic rather than microscopic objects.)
a. A particle falling at its terminal speed is in equilibrium with no net force. Write Newton's first law for this particle falling in the presence of a downward electric field of strength , then solve to find an expression for .
b. Soot is primarily carbon, and carbon in the form of graphite has a density of . In the absence of an electric field, what is the terminal speed in of a -diameter graphite particle? The viscosity of air at is .
c. The earth's electric field is typically (150 N/C , downward). In this field, what is the terminal speed in of a -diameter graphite particle that has acquired 250 extra electrons?
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