Explanation Write the expression for variation of charge with time. Q ( t ) = Q max cos ( ω t + φ ) (I) Here, Q max is maximum charge stored in the capacitor, ω is angular frequency, t is time, and φ is phase angle. Write the expression for variation of current with time. I ( t ) = d d t Q ( t ) (II) Here, I ( t ) is variation of current with time and Q ( t ) is the variation of charge with time. Substitute Q max cos ( ω t + φ ) for Q ( t ) in Equation (II). I ( t ) = d d t [ Q max cos ( ω t + φ ) ] (III) Differentiate the equation (III) with respect to t . I ( t ) = [ − ω Q max sin ( ω t + φ ) ] Write the expression for energy stored in the magnetic field. U B ( t ) = 1 2 L [ I ( t ) ] 2 (IV) Here, U B is energy stored in the magnetic field, and L is inductance. Write the expression for angular frequency. ω = 1 L C (V) Conclusion: Substitute [ − ω Q max sin ( ω t + φ ) ] for I ( t ) in equation (IV) to calculate U B ( t )

16th Edition

ISBN: 8220100546716

Author: Katz

Publisher: CENGAGE L

See similar textbooks

Concept explainers

Voltage Across Inductor

An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is…

Question

Chapter 33, Problem 28PQ

To determine

The expression UB(t)=Q2max2Csin2(ωt+φ).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 33, Problem 27PQ

Chapter 33, Problem 29PQ

Students have asked these similar questions

A box is dropped on a level conveyor belt that is moving at 4.5 m/s in the +x direction in a shipping facility. The box/belt friction coefficient is 0.15. For what duration will the box slide on the belt? In which direction does the friction force act on the box? How far will the box have moved horizontally by the time it stops sliding along the belt?

No chatgpt pls will upvote

Chapter 33 Solutions

EBK PHYSICS FOR SCIENTISTS AND ENGINEER

Ch. 33.1 - Prob. 33.1CE Ch. 33.1 - Prob. 33.2CE Ch. 33.2 - Prob. 33.3CE Ch. 33.3 - Prob. 33.4CE Ch. 33.4 - Prob. 33.5CE Ch. 33.5 - Prob. 33.6CE Ch. 33.7 - Prob. 33.7CE Ch. 33 - Prob. 1PQ Ch. 33 - Prob. 2PQ Ch. 33 - Prob. 3PQ

Ch. 33 - Prob. 4PQ Ch. 33 - Prob. 5PQ Ch. 33 - Prob. 6PQ Ch. 33 - Prob. 7PQ Ch. 33 - Prob. 8PQ Ch. 33 - Prob. 9PQ Ch. 33 - Prob. 10PQ Ch. 33 - Prob. 11PQ Ch. 33 - At one instant, a current of 6.0 A flows through...Ch. 33 - Prob. 13PQ Ch. 33 - Prob. 14PQ Ch. 33 - Prob. 15PQ Ch. 33 - In Figure 33.9A (page 1052), the switch is closed...Ch. 33 - Prob. 17PQ Ch. 33 - Prob. 18PQ Ch. 33 - Prob. 19PQ Ch. 33 - Prob. 20PQ Ch. 33 - Prob. 21PQ Ch. 33 - Prob. 22PQ Ch. 33 - In the LC circuit in Figure 33.11, the inductance...Ch. 33 - A 2.0-F capacitor is charged to a potential...Ch. 33 - Prob. 26PQ Ch. 33 - Prob. 27PQ Ch. 33 - Prob. 28PQ Ch. 33 - For an LC circuit, show that the total energy...Ch. 33 - Prob. 30PQ Ch. 33 - Prob. 31PQ Ch. 33 - Prob. 32PQ Ch. 33 - Prob. 33PQ Ch. 33 - Suppose you connect a small lightbulb across a DC...Ch. 33 - Prob. 35PQ Ch. 33 - Prob. 36PQ Ch. 33 - Prob. 37PQ Ch. 33 - Prob. 38PQ Ch. 33 - Prob. 39PQ Ch. 33 - Prob. 40PQ Ch. 33 - Prob. 41PQ Ch. 33 - Prob. 42PQ Ch. 33 - Prob. 43PQ Ch. 33 - In an ideal AC circuit with capacitance, there is...Ch. 33 - Prob. 45PQ Ch. 33 - Prob. 46PQ Ch. 33 - Prob. 47PQ Ch. 33 - Prob. 48PQ Ch. 33 - Prob. 49PQ Ch. 33 - An AC generator with an rms emf of 15.0 V is...Ch. 33 - Prob. 51PQ Ch. 33 - Prob. 52PQ Ch. 33 - Prob. 53PQ Ch. 33 - Prob. 54PQ Ch. 33 - Prob. 55PQ Ch. 33 - Prob. 56PQ Ch. 33 - Prob. 57PQ Ch. 33 - Prob. 58PQ Ch. 33 - Prob. 59PQ Ch. 33 - An AC source of angular frequency is connected to...Ch. 33 - An RLC series circuit is constructed with R =...Ch. 33 - Prob. 62PQ Ch. 33 - A series RLC circuit driven by a source with an...Ch. 33 - Prob. 64PQ Ch. 33 - Prob. 65PQ Ch. 33 - Prob. 66PQ Ch. 33 - Prob. 67PQ Ch. 33 - Prob. 68PQ Ch. 33 - Prob. 69PQ Ch. 33 - Prob. 70PQ Ch. 33 - Problems 71 and 72 paired. Figure P33.71 shows a...Ch. 33 - Prob. 72PQ Ch. 33 - Prob. 73PQ Ch. 33 - Prob. 74PQ Ch. 33 - Prob. 75PQ Ch. 33 - In a series RLC circuit with a maximum current of...Ch. 33 - Prob. 77PQ Ch. 33 - Two coaxial cables of length with radii a and b...Ch. 33 - Prob. 79PQ Ch. 33 - Prob. 80PQ Ch. 33 - Prob. 81PQ Ch. 33 - Prob. 82PQ Ch. 33 - Prob. 83PQ Ch. 33 - Prob. 84PQ

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

SEE MORE QUESTIONS

Recommended textbooks for you

Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 2
Physics
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill