/*! 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} Q. 40 a. For an 聽RC 聽circuit, 聽find... [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 32: Q. 40 (page 925)

a. For an RC circuit, find an expression for the angular frequency at which $V_{R} = \frac{1}{2} 蔚_{0}$
b. What is V_C at this frequency?

Short Answer

Expert verified

(a) The final expression for angular frequency is $蝇 = \frac{1}{\sqrt{3} R C}$

(b) The V_C at the given frequency is $V_{C} = \frac{\sqrt{3} 蔚_{0}}{2}$

Step by step solution

01

Part (a) Step 1: Given Information

We are given that for an RC circuit, the voltage across resistor is $V_{R} = \frac{1}{2} 蔚_{0}$ .

We have to find out the expression for angular frequency.

02

Part (a) Step 2: Simplification

We know,

$V_{R} = \frac{蔚_{0} R}{\sqrt{R^{2} + \frac{1}{蝇^{2} c^{2}}}}$ (where $V_{R} = \frac{1}{2} 蔚_{0}$ )

Here $V_{R}$ is voltage across resistor, R is the resistor, $蝇$ is the angular frequency and $c$ is the capacitor.

On simplifying we get, $\sqrt{1 + \frac{1}{蝇^{2} C^{2} R^{2}}} = 2$

$\frac{1}{蝇^{2} C^{2} R^{2}} = 3$

which gives the result , $蝇 = \frac{1}{\sqrt{3} R C}$

03

Part (b) Step 1: Given Information

We are given that for an RC circuit, the voltage across the resistor is $V_{R} = \frac{1}{2} 蔚_{0}$ and we have already find out the angular frequency $蝇 = \frac{1}{\sqrt{3} R C}$ .

We have to find out the $V_{C}$ .

04

Part (b) Step 2: Simplification

We know, the formula for voltage across the capacitor is

$V_{C} = \frac{\frac{蔚_{0}}{蝇_{C}}}{\sqrt{R^{2} + \frac{1}{蝇^{2} C^{2}}}}$

Substituting all the values in it, we get

$V_{C} = \frac{\sqrt{3} 蔚_{0}}{2}$ .

The voltage across capacitor $V_{C} = \frac{\sqrt{3} 蔚_{o}}{2}$

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

a. For an RC circuit, find an expression for the angular frequency at which $V_{C} = \frac{1}{2} 蔚_{0}$ .

b. What is V_R at this frequency ?

Figure P $32.47$ shows a parallel RC circuit.

a. Use a phasor-diagram analysis to find expressions for the peak currents $I_{R}$ and $I_{C}$ .

b. Complete the phasor analysis by finding an expression for the peak emf current I.

The telecommunication circuit shown in FIGURE CP $32.71$ has a parallel inductor and capacitor in series with a resistor.

a. Use a phasor diagram to show that the peak current through the resistor is

$I = \frac{蔚_{0}}{\sqrt{R^{2} + {(\frac{1}{X_{L}} - \frac{1}{X_{C}})}^{- 2}}}$

b. What is I in the limits $蝇鈫� 0$ and $蝇鈫� 鈭�$ ?

c. What is the resonance frequency $蝇_{0}$ ? What is I at this frequency?

a. Show that the average power loss in a series RLC circuit is

$P_{a v g} = \frac{蝇^{2} {(蔚_{r m s})}^{2} R}{蝇^{2} R^{2} + L^{2} {(蝇^{2} - 蝇_{o}^{2})}^{2}}$

b. Prove that the energy dissipation is a maximum at $蝇 = 蝇_{o}$ .

A high-pass $R C$ filter with a crossover frequency of $1000 H z$ uses a $100 鈩�$ resistor. What is the value of the capacitor?

See all solutions

Recommended explanations on Physics Textbooks

Modern Physics

Read Explanation

Measurements

Read Explanation

Engineering Physics

Read Explanation

Turning Points in Physics

Read Explanation

Thermodynamics

Read Explanation

Famous Physicists

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.