/*! 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} Q9E (a) What is the reactance of a 3... [FREE SOLUTION] | 91影视

91影视

(a) What is the reactance of a 3.00 H inductor at a frequency of 80.0 Hz? (b) What is the inductance of an inductor whose reactance is 120 鈩 at 80.0 Hz? (c) What is the reactance of a 4.00 碌F capacitor at a frequency of 80.0 Hz? (d) What is the capacitance of a capacitor whose reactance is 120 鈩 at 80.0 Hz?

Short Answer

Expert verified

a) Inductive reactance is 1510 鈩 when frequency of the source is 80 Hertz

b) Inductance is 0.24 H when frequency of the source is 80 Hertz, and reactance is 120 鈩

c) Capacitive reactance is 497 鈩 when frequency of the source is 80 Hertz

d) Capacitance is 16.6 碌F when frequency of the source is 80 Hertz, and reactance is 120 鈩

Step by step solution

01

Given Data

An inductor is a passive two-terminal device that stores energy in a magnetic field when current passes through it. When an inductor is attached to an AC supply, the resistance produced by it is called inductive reactance (XL).

A capacitor is a device consisting of two conductors in close proximity that are used to store electrical energy. These conductors are insulated from each other. When a capacitor is attached to an AC supply, the resistance produced by it is called capacitive reactance (XC).

The inductance of the coil, L = 3.00 H

Capacitance of capacitor, C = 4.00 碌F

02

Determination of Inductive reactance

Inductive reactance is given by,XL=2fL

For frequency, f = 80 Hz,

XL=2fL=2(80Hz)(3H)=1510

Therefore, the Inductive reactance is 1510 鈩 when frequency of the source is 80 Hertz.

03

Determination of Inductance

Inductance of an inductor is given by,L=XL2蟺蹿

For frequency, f = 80 Hz and Reactance XL = 120 鈩,

L=XL2蟺蹿=120280Hz=0.24H

Therefore, the Inductance is 0.24 H when frequency of the source is 80 Hertz, and reactance is 120 鈩.

04

Determination of Capacitive reactance

Capacitive reactance is given by,XC=12蟺蹿C

For frequency, f = 80 Hz,

XC=12蟺蹿C=1280Hz4*10-6F=497

Therefore, the Capacitive reactance is 497 鈩 when frequency of the source is 80 Hertz

05

 Step 5: Determination of Capacitance

Capacitance of a capacitor is given by,C=12蟺蹿XC

For frequency, f = 80 Hz and Reactance XL = 120 鈩,

C=12蟺蹿XC=1280Hz120=16.6F

Therefore, the Capacitance is 16.6 碌F when frequency of the source is 80 Hertz, and reactance is 120 鈩.

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 light bulb glows because it has resistance. The brightness of a light bulb increases with the electrical power dissipated in the bulb. (a) In the circuit shown in Fig. Q25.14a, the two bulbs A and B are identical. Compared to bulb A, does bulb B glow more brightly, just as brightly, or less brightly? Explain your reasoning. (b) Bulb B is removed from the circuit and the circuit is completed as shown in Fig. Q25.14b. Compared to the brightness of bulb A in Fig. Q25.14a, does bulb A now glow more brightly, just as brightly, or less brightly? Explain your reasoning

An electron moves at 1.40106m/sthrough a regionin which there is a magnetic field of unspecified direction and magnitude 7.4010-2T. (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?

We have seen that a coulomb is an enormous amount of charge; it is virtually impossible to place a charge of 1 C on an object. Yet, a current of 10A,10C/sis quite reasonable. Explain this apparent discrepancy.

The capacity of a storage battery, such as those used in automobile electrical systems, is rated in ampere-hours .(Ah)A50AhA 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-Ahbattery 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?

An electron at point in figure has a speed v0=1.41106m/s. Find (a) the magnetic field that will cause the electron to follow the semicircular path from to and (b) The time required for the electron to move fromAtoB.

See all solutions

Recommended explanations on Physics Textbooks

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.