/*! 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} 55P What direct current will produce... [FREE SOLUTION] | 91影视

91影视

Find study content
Learning Materials

Discover learning materials by subject, university or textbook.

Explanations

Textbooks
All Subjects

Anthropology

Archaeology

Architecture

Art and Design

Bengali

Biology

Business Studies

Greek

Chemistry

Chinese

Combined Science

Computer Science

Economics

Engineering

English

English Literature

Environmental Science

French

Geography

German

History

Hospitality and Tourism

Human Geography

Italian

Japanese

Law

Macroeconomics

Marketing

Math

Media Studies

Medicine

Microeconomics

Music

Nursing

Nutrition and Food Science

Physics

Polish

Politics

Psychology

Religious Studies

Sociology

Spanish

Sports Sciences

Translation

All Subjects

Biology

Business Studies

Chemistry

Combined Science

Computer Science

Economics

English

Environmental Science

Geography

History

Math

Physics

Psychology

Sociology
Features
Features

Discover all of these amazing features with a free account.

Flashcards

91影视 AI

Notes

Study Plans

Study Sets
What鈥檚 new?

Flashcards
Study your flashcards with three learning modes.

Study Sets
All of your learning materials stored in one place.

Notes
Create and edit notes or documents.

Study Plans
Organise your studies and prepare for exams.
91影视
Discover

All the hacks around your studies and career - in one place.

Find a degree

Magazine
Featured

Magazine
Trusted advice for anyone who wants to ace their studies & career.

The largest student job board with the most exciting opportunities.

Verified student deals from top brands.

Discover our mobile app to take your studies anywhere.

Learning Materials

Features

Discover

Chapter 31: 55P (page 938)

What direct current will produce the same amount of thermal energy, in a particular resistor, as an alternating current that has a maximum value of 2.60 A?

Short Answer

Expert verified

The value of the direct current is 1.84 A.

Step by step solution

01

Listing the given quantities:

The current, $i = 2.60 A$

02

Understanding the concepts of power dissipation:

Average power dissipated in resistance Rwhen the current isACand DC should be equated to find the direct current which will produce the same amount of thermal energy as an alternating current of 2.60 A

Formula:

Power Dissipation, $P_{d} = i_{d}^{2} R$

03

Step 3: Calculation of the value of the direct current:

Average power dissipated in resistance R when current is AC.

$P_{avg} = i_{rms}^{2} R$

The power is dissipated in resistor R when current is DC.

$P_{d} = i_{d}^{2} R$

Both these powers produce the same thermal energy. Hence,

$\begin{array}{rcl} P_{avg} & = & P_{d} \\ i_{rms}^{2} R & = & i_{d}^{2} R \\ i_{d} & = & i_{rms} \\ = & \frac{i}{\sqrt{2}} \end{array}$

Substitute 2.60A for i in the above equation.

$\begin{array}{rcl} i_{d} & = & \frac{i}{\sqrt{2}} \\ = & \frac{2.6}{\sqrt{2}} \\ = & 1.84 A \end{array}$

Hence, the value of the direct current is 1.84A.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In an RLC circuit such as that of Fig. 31-7 assume that $R = 5.0 惟, L = 60.0 m H, f_{d} = 60.0 H z$ and $蔚_{m} = 30.0 V$ . For what values of the capacitance would the average rate at which energy is dissipated in the resistance be (a) a maximum and (b) a minimum? What are (c) the maximum dissipation rate and the corresponding (d) phase angle and (e) power factor? What are (f) the minimum dissipation rate and the corresponding (g) phase angle and (h) power factor?

(a) In an RLC circuit, can the amplitude of the voltage across an inductor be greater than the amplitude of the generator emf? (b) Consider an RLC circuit with emf amplitude ${鈭�}_{m} = 10 V$ , resistance $R = 10 惟$ , inductance $L = 1.0 H$ , and capacitance $C = 1.0 渭贵$ . Find the amplitude of the voltage across the inductor at resonance.

The current amplitude Iversus driving angular frequency $蝇_{d}$ for a driven $R L C$ circuit is given in Figure, where the vertical axis scale is set by $I_{s} = 4.00 A$ . The inductance is, $200 渭贬$ and the emf amplitude is $8.0 V$ . (a) What is the C?(b) What is the R?

Figure shows an 鈥渁utotransformer.鈥� It consists of a single coil (with an iron core). Three taps Ti are provided. Between taps T1 and T2 there are 200 turns, and between taps T2 and t3 there are800turns. Any two taps can be chosen as the primary terminals, and any two taps can be chosen as the secondary terminals. For choices producing a step-up transformer, (a)What is the smallest? (b)What is the second smallest? (c) What is the largest value of the ratio Vs/Vp? (d) For a step-down transformer, what is the smallest?(e)For a step-down transformer, what is the second smallest? (f) For a step-down transformer, what are the largest values of Vs/Vp?

An alternating source with a variable frequency, an inductor with inductance L, and a resistor with resistance Rare connected in series. Figure gives the impedance Zof the circuit versus the driving angular frequency $蝇_{d}$ , with the horizontal axis scale set by ${(蝇_{d})}_{s} = 1600 rad/s$ . The figure also gives the reactance $X_{L}$ for the inductor versus $蝇_{d}$ . (a) What isR? (b) What isL?

See all solutions

Recommended explanations on Physics Textbooks

Quantum Physics

Read Explanation

Energy Physics

Read Explanation

Force

Read Explanation

Astrophysics

Read Explanation

Rotational Dynamics

Read Explanation

Medical Physics

Read Explanation

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.