/*! 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} Q22E (a) Use the results of part (a) ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q22E (page 1045)

(a) Use the results of part (a) of Exercise 31.21 to show that the average power delivered by the source in an L-R-C series circuit is given byPavg=(Irms)2R.(b) An L-R-C series circuit has R = 96.0 鈩�, and the amplitude of the voltage across the resistor is 36.0 V. What is the average power delivered by the source?

Short Answer

Expert verified

The average power delivered by the source in an L-R-C series circuit is given byPavg=(Irms)2Rand the average power delivered by the source is 6.75W.

Step by step solution

01

Step-1: Formula of average power delivered

Pavgis the average power dissipated by the circuit.

Pavg=VrrmsIrms肠辞蝉蠒

VrmsandIrms are the rms voltage and current respectively.

颁辞蝉蠒=Rz,Irms=Vrmszvrms=v2

02

Step-2: Calculations for average power delivered by the source

Pavg=VrmsIrmscos蠒=VrmsIrms(RZ)=(VrmsZ)IrmsR=Irms2R=V2rmsR

Therefore, the average power delivered by the source is I2rmsR.

03

Step-3: Calculations for average power dissipated by the source

Vrms=36V2=25.45V

Now, we plug the values ofVrmsand R in the formula to get the average power.

Pav=25.45V296惟=6.75W

Therefore the average power delivered by the source in an L-R-C series circuit is given byPavg=Irms2Rand the average power delivered by the source is 6.75W.

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

An electron moves at 1.40脳106m/sthrough a regionin which there is a magnetic field of unspecified direction and magnitude 7.40脳10-2T. (a) What are the largest and smallest possible magnitudes of the acceleration of the electron due to the magnetic field? (b) If the actual acceleration of the electron is one-fourth of the largest magnitude in part (a), what is the angle
between the electron velocity and the magnetic field?

A typical small flashlight contains two batteries, each having an emf of1.5V, connected in series with a bulb having resistance17惟. (a) If the internal resistance of the batteries is negligible, what power is delivered to the bulb? (b) If the batteries last for1.5hwhat is the total energy delivered to the bulb? (c) The resistance of real batteries increases as they run down. If the initial internal resistance is negligible, what is the combined internal resistance of both batteries when the power to the bulb has decreased to half its initial value? (Assume that the resistance of the bulb is constant. Actually, it will change somewhat when the current through the filament changes, because this changes the temperature of the filament and hence the resistivity of the filament wire.)

The capacity of a storage battery, such as those used in automobile electrical systems, is rated in ampere-hours .(A鈥�h)鈥�A50A鈥�hA battery can supply a current of50Afor 1.0h,or25Afor2.0hor for and so on. (a) What total energy can be supplied by a 12-v,60-A鈥�hbattery if its internal resistance is negligible? (b) What volume (in litres) of gasoline has a total heat of combustion equal to the energy obtained in part (a)? (See Section 17.6; the density of gasoline is 900kg/m3.) (c) If a generator with an average electrical power output ofrole="math" localid="1655719210000" 0.45kW is connected to the battery, how much time will be required for it to charge the battery fully?

In an L-R-C series circuit, what criteria could be used to decide whether the system is over damped or underdamped? For example, could we compare the maximum energy stored during one cycle to the energy dissipated during one cycle? Explain.

In the circuit shown in Fig. E26.18,蔚=36.V,R1=4.0惟,R2=6.0惟,R3=3.0惟(a) What is the potential difference Vab between points a and b when the switch S is open and when S is closed? (b) For each resistor, calculate the current through the resistor with S open and with S closed. For each resistor, does the current increase or decrease when S is closed?
See all solutions

Recommended explanations on Physics Textbooks

Magnetism and Electromagnetic Induction

Read Explanation

Particle Model of Matter

Read Explanation

Dynamics

Read Explanation

Translational Dynamics

Read Explanation

Solid State Physics

Read Explanation

Astrophysics

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.