/*! 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. 7 In the series RLC circuit repres... [FREE SOLUTION] | 魅影直播

魅影直播

Log out

Learning Materials

Features

Discover

Chapter 32: Q. 7 (page 905)

In the series RLC circuit represented by the phasors of FIGURE Q32.7, is the EMF frequency less than, equal to, or greater than the resonance frequency 蝇0? Explain.

Short Answer

Expert verified

The EMF frequency is less than resonance frequency蝇<蝇0

Step by step solution

01

Step 1. Given Information

We have been given that EMF phasor lags behind current phasor

02

Step 2. Solving

Since the EMF phasor lags behind current phasor it means Vc>Vl.

As EMF frequency increases Vcdecreases and Vlincreases and at resonance frequency蝇0Vc=Vl

Since Vcis greater than Vlwe can say that EMF frequency is less than resonance frequency

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 魅影直播!

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 seriesRLC circuit consists of a75鈩�resistor, a 0.12H inductor, and a 30mF capacitor. It is attached to a120V/60Hz power line. What are (a) the peak currentI, (b) the phase angle 蠒, and (c) the average power loss?

A series RLC circuit consists of a 550惟{"x":[[31,32,35,39,43,45,48,52,55,57,59,61,62,63,63,65,68,70,72,75,76,79,83,86,87,88,89],[30,31,32,33,34,35,35,35,36,37,37,38,39,42,43,46,50,51,52,53,55,56,59,63,63,64,66,67,67,70,71,73,73,73,74,74,74,73,73,73,71,71,70,68,63,59,56,53,51,51,50,49,48,47,47,47,46,45,44],[115,123,127,133,139,146,155,162,169,175,178,179,180,182],[111,121,123,125,125,126,127,131,135,142,145,148,151,155,159,161,162,163,164,167,170,172,174,175,177,178,179,180,180,180,180,179,176,173,171,168,167,165,163,159,151,145,140,135,134,133,131,129,127,124,123,122],[257,255,252,248,244,242,237,235,233,232,230,228,226,223,221,219,219,218,218,217,217,217,217,217,217,219,220,222,223,224,226,228,231,234,239,242,247,249,251,252,255,255,257,259,259,259,259,260,260,260,259,259,257,257,256,255,254,253,252,252,251,251,251,251,250,250,250,249,249,249,248,248,248,247,244,243,241,239,238],[325,327,332,336,341,343,343,344,345,346,346,346,346,346,346,346,345,345,343,343,343,342,341,341,341,341,341,341,341,341,341,343,344,347,352,357,360,364,367,371,375,379,381,383,387,391,395,400,402,403,405,406,407,407,408,408,408,408,406,403,399,396,395,394,392,391,391,391,391,391,391,391,391,391,391,391,391,391,391,391,392,393,395,396,399,401,403,407,411,414,415,417,419,421,423,424,425]],"y":[[63.399993896484375,63.399993896484375,62.399993896484375,61.399993896484375,59.399993896484375,58.399993896484375,57.399993896484375,57.399993896484375,56.399993896484375,56.399993896484375,55.399993896484375,55.399993896484375,54.399993896484375,54.399993896484375,54.399993896484375,54.399993896484375,53.399993896484375,53.399993896484375,53.399993896484375,53.399993896484375,53.399993896484375,53.399993896484375,53.399993896484375,53.399993896484375,52.399993896484375,52.399993896484375,52.399993896484375],[65.39999389648438,69.39999389648438,73.39999389648438,78.39999389648438,80.39999389648438,81.39999389648438,83.39999389648438,86.39999389648438,89.39999389648438,93.39999389648438,94.39999389648438,94.39999389648438,93.39999389648438,92.39999389648438,91.39999389648438,89.39999389648438,88.39999389648438,88.39999389648438,88.39999389648438,88.39999389648438,88.39999389648438,88.39999389648438,88.39999389648438,88.39999389648438,88.39999389648438,88.39999389648438,88.39999389648438,88.39999389648438,89.39999389648438,91.39999389648438,93.39999389648438,96.39999389648438,98.39999389648438,101.39999389648438,105.39999389648438,113.39999389648438,117.39999389648438,121.39999389648438,127.39999389648438,129.39999389648438,131.39999389648438,133.39999389648438,135.39999389648438,137.39999389648438,138.39999389648438,140.39999389648438,140.39999389648438,140.39999389648438,141.39999389648438,141.39999389648438,141.39999389648438,140.39999389648438,139.39999389648438,139.39999389648438,139.39999389648438,138.39999389648438,137.39999389648438,137.39999389648438,137.39999389648438],[53.399993896484375,53.399993896484375,52.399993896484375,51.399993896484375,50.399993896484375,49.399993896484375,47.399993896484375,45.399993896484375,44.399993896484375,43.399993896484375,42.399993896484375,42.399993896484375,42.399993896484375,41.399993896484375],[53.399993896484375,69.39999389648438,71.39999389648438,74.39999389648438,75.39999389648438,75.39999389648438,73.39999389648438,71.39999389648438,69.39999389648438,65.39999389648438,63.399993896484375,62.399993896484375,61.399993896484375,61.399993896484375,61.399993896484375,61.399993896484375,61.399993896484375,61.399993896484375,61.399993896484375,61.399993896484375,61.399993896484375,61.399993896484375,61.399993896484375,62.399993896484375,65.39999389648438,69.39999389648438,75.39999389648438,81.39999389648438,85.39999389648438,88.39999389648438,91.39999389648438,94.39999389648438,100.39999389648438,103.39999389648438,107.39999389648438,109.39999389648438,111.39999389648438,113.39999389648438,114.39999389648438,117.39999389648438,121.39999389648438,121.39999389648438,121.39999389648438,121.39999389648438,121.39999389648438,121.39999389648438,121.39999389648438,121.39999389648438,121.39999389648438,121.39999389648438,121.39999389648438,121.39999389648438],[45.399993896484375,45.399993896484375,44.399993896484375,42.399993896484375,41.399993896484375,40.399993896484375,39.399993896484375,39.399993896484375,39.399993896484375,39.399993896484375,40.399993896484375,41.399993896484375,44.399993896484375,48.399993896484375,50.399993896484375,54.399993896484375,57.399993896484375,58.399993896484375,60.399993896484375,65.39999389648438,69.39999389648438,73.39999389648438,76.39999389648438,80.39999389648438,84.39999389648438,88.39999389648438,91.39999389648438,93.39999389648438,96.39999389648438,97.39999389648438,99.39999389648438,100.39999389648438,102.39999389648438,103.39999389648438,105.39999389648438,105.39999389648438,105.39999389648438,106.39999389648438,107.39999389648438,107.39999389648438,107.39999389648438,107.39999389648438,107.39999389648438,106.39999389648438,106.39999389648438,105.39999389648438,105.39999389648438,103.39999389648438,100.39999389648438,94.39999389648438,90.39999389648438,89.39999389648438,87.39999389648438,85.39999389648438,83.39999389648438,77.39999389648438,73.39999389648438,67.39999389648438,64.39999389648438,63.399993896484375,61.399993896484375,61.399993896484375,60.399993896484375,57.399993896484375,57.399993896484375,56.399993896484375,55.399993896484375,53.399993896484375,51.399993896484375,50.399993896484375,49.399993896484375,48.399993896484375,47.399993896484375,47.399993896484375,41.399993896484375,40.399993896484375,35.399993896484375,33.399993896484375,32.399993896484375],[126.39999389648438,126.39999389648438,126.39999389648438,125.39999389648438,124.39999389648438,123.39999389648438,122.39999389648438,121.39999389648438,118.39999389648438,115.39999389648438,113.39999389648438,111.39999389648438,110.39999389648438,109.39999389648438,107.39999389648438,106.39999389648438,104.39999389648438,101.39999389648438,98.39999389648438,97.39999389648438,96.39999389648438,93.39999389648438,90.39999389648438,87.39999389648438,82.39999389648438,77.39999389648438,72.39999389648438,68.39999389648438,62.399993896484375,60.399993896484375,58.399993896484375,56.399993896484375,53.399993896484375,49.399993896484375,45.399993896484375,43.399993896484375,42.399993896484375,41.399993896484375,41.399993896484375,41.399993896484375,41.399993896484375,41.399993896484375,42.399993896484375,43.399993896484375,44.399993896484375,46.399993896484375,49.399993896484375,50.399993896484375,51.399993896484375,53.399993896484375,53.399993896484375,54.399993896484375,55.399993896484375,57.399993896484375,59.399993896484375,60.399993896484375,62.399993896484375,65.39999389648438,72.39999389648438,77.39999389648438,84.39999389648438,88.39999389648438,92.39999389648438,95.39999389648438,97.39999389648438,97.39999389648438,98.39999389648438,99.39999389648438,100.39999389648438,101.39999389648438,101.39999389648438,102.39999389648438,103.39999389648438,104.39999389648438,105.39999389648438,105.39999389648438,106.39999389648438,107.39999389648438,108.39999389648438,109.39999389648438,109.39999389648438,109.39999389648438,110.39999389648438,111.39999389648438,111.39999389648438,111.39999389648438,111.39999389648438,111.39999389648438,111.39999389648438,111.39999389648438,110.39999389648438,109.39999389648438,109.39999389648438,109.39999389648438,109.39999389648438,109.39999389648438,109.39999389648438]],"t":[[0,234,240,257,274,291,308,324,340,357,374,424,441,457,474,524,540,557,573,590,607,623,641,657,673,691,707],[2943,3190,3206,3223,3240,3256,3273,3289,3306,3323,3340,3674,3690,3706,3724,3739,3756,3773,3789,3806,3822,3840,3856,3873,3889,3906,3927,3939,3957,3973,3989,4006,4023,4040,4057,4073,4089,4107,4123,4140,4157,4173,4189,4207,4223,4240,4256,4273,4289,4511,4614,4640,4672,4706,4722,4740,4789,4807,4822],[6176,6406,6421,6438,6455,6472,6489,6505,6523,6538,6555,6572,6588,6605],[7898,8155,8171,8188,8208,8471,8488,8504,8521,8539,8554,8571,8587,8604,8621,8638,8654,8686,8704,8721,8739,8754,8771,8788,8804,8821,8839,8855,8871,8887,8904,8921,8938,8954,8971,8987,9004,9021,9038,9054,9071,9087,9104,9122,9137,9154,9204,9221,9238,9254,9271,9287],[10696,10911,10920,10937,10954,10971,10989,11003,11020,11037,11054,11070,11087,11104,11120,11137,11153,11170,11187,11203,11220,11236,11254,11271,11287,11305,11320,11337,11354,11370,11388,11404,11420,11437,11454,11470,11488,11503,11520,11536,11554,11570,11587,11604,11620,11637,11653,11670,11687,11704,11720,11737,11753,11770,11787,11803,11820,11836,11853,11870,11887,11905,11920,11936,11953,11970,12021,12037,12053,12070,12087,12137,12199,12205,12245,12253,12271,12287,12303],[13650,13885,13904,13920,13937,13952,13986,14003,14020,14036,14052,14069,14086,14102,14119,14136,14154,14170,14186,14203,14220,14236,14252,14269,14286,14302,14319,14336,14353,14369,14386,14402,14419,14436,14453,14468,14485,14502,14519,14536,14553,14569,14585,14602,14619,14636,14652,14668,14685,14702,14719,14736,14753,14768,14786,14802,14819,14836,14853,14868,14886,14902,14920,14936,14953,14969,14985,15002,15020,15069,15152,15217,15237,15255,15292,15369,15385,15408,15503,15519,15536,15553,15569,15585,15602,15619,15635,15652,15670,15685,15702,15718,15736,15752,15771,15786,15802]],"version":"2.0.0"}resistor, a 2.1mH inductor, and a 550nF capacitor. It is connected to a 50V rms oscillating voltage source with an adjustable frequency. An oscillating magnetic field is observed at a point 2.5mm from the center of one of the circuit wires, which is long and straight. What is the maximum magnetic field amplitude that can be generated?

Figure shows voltage and current graphs for a resistor.

a. What is the emf frequency f?

b. What is the value of the resistance R?

c. Draw the resistor鈥檚 voltage and current phasors at t=15ms

Commercial electricity is generated and transmitted as three-phase electricity. Instead of a single emf E=E0cosvt, three separate wires carry currents for the emfs E1=E0cosvt,E2=E0cos1vt+120掳,andE3=E0cos1vt-120掳. This is why the long-distance transmission lines you see in the countryside have three parallel wires, as do many distribution lines within a city.

a. Draw a phasor diagram showing phasors for all three phases of a three-phase emf.

b. Show that the sum of the three phases is zero, producing what is referred to as neutral. In single-phase electricity, provided by the familiar electric outlets in your home, one side of the outlet is neutral, as established at a nearby electrical substation. The other, called the hot side, is one of the three phases. (The round opening is connected to ground.)

c. Show that the potential difference between any two of the phases has the rms value where is the familiar single-phase rms voltage. Evaluate this potential difference for . Some high-power home appliances, especially electric clothes dryers and hot-water heaters, are designed to operate between two of the phases rather than between one phase and neutral. Heavy-duty industrial motors are designed to operate from all three phases, but full three-phase power is rare in residential or office use.

The resonance frequency of a series RLCcircuit is 1000Hz. What is the resonance frequency if:

a. The resistance Ris doubled?

b. The inductance Lis doubled?

c. The capacitance Cis doubled?
See all solutions

Recommended explanations on Physics Textbooks

Kinematics Physics

Read Explanation

Engineering Physics

Read Explanation

Circular Motion and Gravitation

Read Explanation

Rotational Dynamics

Read Explanation

Geometrical and Physical Optics

Read Explanation

Particle Model of Matter

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.