Book cover for Physics

Physics

John D. Cutnell, Kenneth W. Johnson, David Young, Shane Stadler

ISBN #9781118486894

10th Edition

2,562 Questions

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Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

This section covers the behavior of AC circuits containing capacitors, inductors, and resistors, emphasizing the frequency-dependent nature of capacitive and inductive reactances. It details how phasor models help in visualizing phase relationships, and how impedance and phase angle are computed in series RCL circuits. The phenomenon of resonance, occurring when XL equals XC, is crucial for maximizing current and tuning circuits. Additionally, the fundamentals of semiconductor devices, including the construction of p-n junction diodes and transistors via doping, illustrate their roles in converting and amplifying electrical signals in modern electronics.

Learning Objectives

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Key Concepts

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Example Problems

Example 1

A $63.0-\mu \mathrm{F}$ capacitor is connected to a generator operating at a low frequency. The rms voltage of the generator is $4.00 \mathrm{V}$ and is constant. A fuse in series with the capacitor has negligible resistance and will burn out when the rms current reaches 15.0 A. As the generator frequency is increased, at what frequency will the fuse burn out?

Example 2

Two identical capacitors are connected in parallel to an ac generator that has a frequency of $610 \mathrm{Hz}$ and produces a voltage of $24 \mathrm{V}$. The current in the circuit is 0.16 A. What is the capacitance of each capacitor?

Example 3

The reactance of a capacitor is $68 \Omega$ when the ac frequency is 460 Hz. What is the reactance when the frequency is $870 \mathrm{Hz} ?$

Example 4

A capacitor is connected to an ac generator that has a frequency of 3.4 $\mathrm{kHz}$ and produces a voltage of $2.0 \mathrm{V}$. The current in the capacitor is $35 \mathrm{mA} .$ When the same capacitor is connected to a second ac generator that has a frequency of $5.0 \mathrm{kHz}$, the current in the capacitor is $85 \mathrm{mA}$. What voltage does the second generator produce?

Example 5

A capacitor is connected across the terminals of an ac generator that has a frequency of $440 \mathrm{Hz}$ and supplies a voltage of $24 \mathrm{V}$. When a second capacitor is connected in parallel with the first one, the current from the generator increases by 0.18 A. Find the capacitance of the second capacitor.

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Step-by-Step Explanations

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Common Mistakes

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