Chapter 23: Q13PE (page 860)
Approximately how does the emf induced in the loop in Figure 23.57(b) depend on the distance of the center of the loop from the wire?

Short Answer
The coil must be inversely proportional to the distance.
/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}
Learning Materials
Features
Discover
Chapter 23: Q13PE (page 860)
Approximately how does the emf induced in the loop in Figure 23.57(b) depend on the distance of the center of the loop from the wire?

The coil must be inversely proportional to the distance.
All the tools & learning materials you need for study success - in one app.
Get started for free
(a) A lightning bolt produces a rapidly varying magnetic field. If the bolt strikes the earth vertically and acts like a current in a long straight wire, it will induce a voltage in a loop aligned like that in Figure\({\rm{23}}{\rm{.57}}\)(b). What voltage is induced in a 1.00 m diameter loop\({\rm{50}}{\rm{.0 m}}\)from a\({\rm{2}}{\rm{.00 \times 1}}{{\rm{0}}^{\rm{6}}}{\rm{ A}}\)lightning strike, if the current falls to zero in\({\rm{25}}{\rm{.0 \mu s}}\)? (b) Discuss circumstances under which such a voltage would produce noticeable consequences.
A \({\rm{25}}{\rm{.0 H}}\) inductor has \({\rm{100 A}}\) of current turned off in \({\rm{1}}{\rm{.00 ms}}{\rm{.}}\) (a) What voltage is induced to oppose this? (b) What is unreasonable about this result? (c) Which assumption or premise is responsible?
Suppose a motor connected to a 120 V source draws 10.0 A when it first starts. (a) What is its resistance? (b) What current does it draw at its normal operating speed when it develops a 100 V back emf?
What capacitance should be used to produce a\(2.00\,{\rm{M\Omega }}\)reactance at\(60.0\,{\rm{Hz}}\)?
Suppose you have a supply of inductors ranging from \(1.00{\rm{ }}nH\) to\(10.0{\rm{ }}H\), and resistors ranging from \(0.100{\rm{ }}\Omega \) to\(1.00{\rm{ }}M\Omega \). What is the range of characteristic \(RL\) time constants you can produce by connecting a single resistor to a single inductor?
What do you think about this solution?
We value your feedback to improve our textbook solutions.