Problem 1 Each of these problems is intended to be independent from the others. (a) Faraday's law (equation 27.2) says that the rate of change of magnetic flux is equal to the EMF, or "Voltage." Show that the units of magnetic flux per unit time are, indeed, units of energy per charge (Volts.) (b) The rectangular loop in the diagram below is moving into a rectangular region in which a constant, uniform magnetic field, B, points out of the page. The field is zero outside of this region. The region with field is larger than the loop. At the time shown, it is moving to the right and is just entering the region where the magnetic field is not zero B0.003T B-0 The loop slides into the field, within it, and then out of it on the other side. Draw a diagram of the loop at each stage of its motion, determine the sense of the current (if any) and direction net force on it (if any,) and plot the flux through the loop and the velocity of the loop as functions of time (c) Can the magnetic field strength (B) be zero when the induced electric field is zero? If it can be zero, does it necessarily have to be? (d) When a time dependent magnetic field is at its maximum value, is the induced electric field (A) also at its maximum value, (B) zero, (C) not zero but not at its maximum value, or (D) could be any of these answers?
Problem 1 Each of these problems is intended to be independent from the others. (a) Faraday's law (equation 27.2) says that the rate of change of magnetic flux is equal to the EMF, or "Voltage." Show that the units of magnetic flux per unit time are, indeed, units of energy per charge (Volts.) (b) The rectangular loop in the diagram below is moving into a rectangular region in which a constant, uniform magnetic field, B, points out of the page. The field is zero outside of this region. The region with field is larger than the loop. At the time shown, it is moving to the right and is just entering the region where the magnetic field is not zero B0.003T B-0 The loop slides into the field, within it, and then out of it on the other side. Draw a diagram of the loop at each stage of its motion, determine the sense of the current (if any) and direction net force on it (if any,) and plot the flux through the loop and the velocity of the loop as functions of time (c) Can the magnetic field strength (B) be zero when the induced electric field is zero? If it can be zero, does it necessarily have to be? (d) When a time dependent magnetic field is at its maximum value, is the induced electric field (A) also at its maximum value, (B) zero, (C) not zero but not at its maximum value, or (D) could be any of these answers?
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:Problem 1
Each of these problems is intended to be independent from the others.
(a) Faraday's law (equation 27.2) says that the rate of change of magnetic flux is equal to the EMF,
or "Voltage." Show that the units of magnetic flux per unit time are, indeed, units of energy
per charge (Volts.)
(b) The rectangular loop in the diagram below is moving into a rectangular region in which a
constant, uniform magnetic field, B, points out of the page. The field is zero outside of this
region. The region with field is larger than the loop. At the time shown, it is moving to the
right and is just entering the region where the magnetic field is not zero
B0.003T
B-0
The loop slides into the field, within it, and then out of it on the other side. Draw a diagram of
the loop at each stage of its motion, determine the sense of the current (if any) and direction net
force on it (if any,) and plot the flux through the loop and the velocity of the loop as functions
of time
(c) Can the magnetic field strength (B) be zero when the induced electric field is zero? If it can be
zero, does it necessarily have to be?
(d) When a time dependent magnetic field is at its maximum value, is the induced electric field (A)
also at its maximum value, (B) zero, (C) not zero but not at its maximum value, or (D) could
be any of these answers?
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