# de rt of Probiein le calcalateNpo radiatod by thes antenna.ar her radiates 3 W ofM (a) Fnd the rate of emis-the transatier fb) ln this case isdlne berween the correctKy in a circular(11.1) is modified by an extra factor of y2kg'utycase the motion would be relativistic(11.50)3cFind the rate of energy loss of the electron, and com-pare with that for a proton. (Your answer for the elec-tron should be enormously larger than for the proton.This explains why most electron accelerators are lin-car, not circular, since the acceleration in a linear ac-celeratorcentripetal acceleration considered here.)and t chassial picture in which thesmied contii lne at Esample 1l using SIphnstNr you ea caloulator and ex-n pe ange (uly 20) vound eponei separatelyonce ec - is far smaller than thetsaLlyar the power Pradated by andg be darved by the methodLad Since Pwold be experted toLmwe mght veasanably guns that11.8 Answer the same questions as in Problem 11.7, butassume that both the proton and electron have kinet-C energy 10 GeV and move in a circle of radius 20 m.(In this case both particles are relativistic and youmust use the relativistic formula (11.50)]11.9 The ring called PEP-II at Stanford in Californiastores clectrons orbiting around a circle of radius170 m Because of the centripetal acceleration,r. the particles lose energy in accordance withEq (1150) (which is the appropnate relativistic formof Eg (11.1)) (a) Find the rate of encrgy loss of a sin-e 9-GeV electron. (b) If a total of 2 x 10 clectronsare radiating at this rate, whal is the total power, inwattk needed to keep them at 9 GeV? (For compari-son, the power used by a typical household applianceis on the order of 100 W)(11 48)mumber of arder !ebdwhene Lm and pd &s the Coulumb forseBy aning theiral qantities in (11 48)at dtermanes the un-Show that yuu obtain theg thas the dmensanless(Sec 1adascal ahom Wouldgta y ough mlimate ofllapt coplenclyInd the cate at which*Note that this is for the case of circular motion. For linearmotion the facttor is yThe actual device contains hoth curved and straight sec-tons bus is teasonahly described as a single circle for theurposes of this problemS1.49)

Question
Asked Dec 28, 2019
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How would I be able to solve Problem 11.9? The chapter that this problem is in is called "Atomic transitions and radiation." The section it resides in is named Radiation by Classical Charges.

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## Expert Answer

Step 1

(a) Write the expression for Power loss

Step 2

Write the expression for energy of the electron

Step 3

Rewrite the above equation for...

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