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#31 by the average force pulling the electron O one O one Ax (d) Compare this nu

ID: 1591697 • Letter: #

Question

#31 by the average force pulling the electron O one O one Ax (d) Compare this number to the change in electric potential energy of the electron-charged-object system as the electron moves away from the object. Why should the numbers be ap proximately equal? 31. (a) An object with charge q +3.0 x 10 s C is moved to position C from infinity (Figure P14.31). q1 q2- q3 +10.0 x 10 4 C. Determine as many work energy quantities as you can that Figure P14.31 characterize this process. Make sure you specify the system. (b) Repeat your calculations but for q1 q3 0.01 C and 32. 92 +0.01 C charge An object with e 2.0 m +2.0 x 10 is m o v 2.0 m C from position C to posi tion D in Figure P14.31. q1 q3 +10.0 x 10 5 C All and q2 20.0 x 10-5 C. 2.0 m four charged objects are the sys- What determine for quantities can you the process?

Explanation / Answer

the work done in moving a charge q through a potential difference of V can be find as -

W = qV

potential at point C will be the sum of all the potentials due to q1,q2,q3 and can be find as -

V = 9*109[q1+q2+q3/2]

V = 1.35*107 VOLT

SO W =q4*V

W = 405 joule

for q1=q3 = - 0.01 C

q2 = 0.01 C

V = 9*109 [0.01 - 0.01 - 0.01]/2

V = 4.5*107 VOLT

W = q4*V

W = 1350 JOULE