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Chapter 13: Q18P (page 540)
An electron in a region in which there is an electric field experiences a force of magnitude . What is the magnitude of the electric field at the location of the electron?
The magnitude of the electric field at the location of electron is .
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In Figure 13.66 a proton at location A makes an electric field at location B. A different proton, placed at location B, experiences a force . Now the proton at B is removed and replaced by a lithium nucleus, containing three protons and four neutrons. (a) Now what is the value of the electric field at location B due to the proton? (b) What is the force on the lithium nucleus? (c) The lithium nucleus is removed, and an electron is placed at location B. Now what is the value of the electric field at location B due to the proton? (d) What is the magnitude of the force on the electron? (e) Which arrow in Figure 13.65 best indicates the direction of the force on the electron due to the electric field?
Two identical permanent dipoles, each consisting of charges +qand -qseparated by a distance s, are aligned along the xaxis, a distance rfrom each other, where(Figure 13.75). Show all of the steps in your work, and briefly explain each step. (a) Draw a diagram showing all individual forces acting on each particle, and draw heavier vectors showing the net force on each dipole. (b) Show that the magnitude of the net force exerted on one dipole by the other dipole is this:
Consider Figure 13.59. Assume that the dipole is fixed in position. (a) What is the direction of the electric field at location A due to the dipole? (b) At location B? (c) If an electron were placed at location A, in which direction would it begin to move? (d) If a proton were placed at location B, in which direction would it begin to move? (e) Now suppose that an electron is placed at location A and held there, while the dipole is free to move. When the dipole is released, in what direction will it begin to move?
What is the electric field at a location , due to a particle with charge +3nC located at the origin?
A dipole consists of two charges and , held apart by a rod of length , as shown in Figure 13.71. (a) What is the magnitude of the electric field due to the dipole at location A, from the center of the dipole? (b) What is the magnitude of the electric field due to the dipole at location B, from the center of the dipole?
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