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An electron is to be accelerated in a uniform electric field having a strength of $2.00 \times 10^{6} \mathrm{V} / \mathrm{m} .$ (a) What energy in keV is given to the electron if it is accelerated through 0.400 m? (b) Over what distance would it have to be accelerated to increase its energy by 50.0 GeV?
(a) $U_{e}=800 \mathrm{keV}$(b) $d=25.0 \times 10^{3} \mathrm{m}$
Physics 102 Electricity and Magnetism
Chapter 19
Electric Potential and Electric Field
Electric Charge and Electric Field
Gauss's Law
Electric Potential
Cornell University
Rutgers, The State University of New Jersey
Hope College
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All right, so in this problem Ah, we have Elektra few uniform. Electra Few whose strength is Ah, two times 10 to the sixth vote meter. And ah, so suppose we have electoral in this electric field. So this is the electro and, uh, suppose that this is that this electron has moved is Deke Whoa 0.4 meters. So in part a want to find out to the energy that this ah electro obtained. So the energy you equal basically because there's a uniform feud, right? So the force acting on this electron is uniform, so it's just half times x on the FAA co ee times erase. So just Electra feud and axe is tthe e. So you're plugging the values and you see that you hear equal eight ah, 800 kill evey and in part be so Suppose we have known the energy that to the electron tennis. Ah, you equal. Ah, let me see 15. Sorry, it's ah, it's actually five times 10 to the turns electoral votes. And we want to find out the distance so we can utilize the expression you equal anytime's e time. Steer a and the electric field here is given and the This is the charge of electro and we'll we'll find out the so you can find a solution of the equal 2.5 times, 10 to the forth meters, okay?
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