Book cover for Fundamentals of Physics

Fundamentals of Physics

David Halliday, Robert Resnick

ISBN #9781119460138

11th Edition

4,175 Questions

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46,282 Students Helped

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Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

This module emphasizes that in magnetism, the simplest structures are magnetic dipoles, and key principles are encapsulated in Gauss’ law for magnetic fields. The law, expressed as the net flux through any closed surface being zero, reinforces that magnetic field lines are continuous with no beginning or end, reinforcing the non-existence of magnetic monopoles. This fundamental understanding connects to practical applications in technology, ranging from MRI systems to magnetic storage and beyond, illustrating the powerful unification of theoretical physics and real-world engineering.

Learning Objectives

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Key Concepts

CONCEPT

DEFINITION

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Example Problems

Example 1

An oscillating $L C$ circuit consists of a $75.0 \mathrm{mH}$ inductor and a $3.60 \mu \mathrm{F}$ capacitor. If the maximum charge on the capacitor is $2.90 \mu \mathrm{C},$ what are (a) the total energy in the circuit and (b) the maximum current?

Example 2

The frequency of oscillation of a certain $L C$ circuit is $200 \mathrm{kHz}$. At time $t=0,$ plate $A$ of the capacitor has maximum positive charge. At what earliest time $t>0$ will (a) plate $A$ again have maximum positive charge, (b) the other plate of the capacitor have maximum positive charge, and (c) the inductor have maximum magnetic field?

Example 3

In a certain oscillating $L C$ circuit, the total energy is converted from electrical energy in the capacitor to magnetic energy in the inductor in $1.50 \mu$ s. What are (a) the period of oscillation and (b) the frequency of oscillation? (c) How long after the magnetic energy is a maximum will it be a maximum again?

Example 4

What is the capacitance of an oscillating $L C$ circuit if the maximum charge on the capacitor is $1.60 \mu \mathrm{C}$ and the total energy is $140 \mu \mathrm{J} ?$

Example 5

In an oscillating $L C$ circuit, $L=1.10 \mathrm{mH}$ and $C=4.00 \mu \mathrm{F}$. The maximum charge on the capacitor is $3.00 \mu \mathrm{C}$. Find the maximum current.

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Step-by-Step Explanations

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Common Mistakes

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