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M Inbox-mubi 1023@gmai x M Inbox-mogbar20illinois x Dashboard- My Study Li D Homework: Electric pote x C chegg studyIGuided So x C e http bytesh phy Play slidesh unitltemID-40400&enrollmentID; 34099 Three Charges THREE CHARGES Three Charges 8 LLC +4 LLC +5 LLC 4 cm 2 cm Three charges are arranged as shown in the figure. How much work was necessary to move the middle charge from infinity into this arrangement (with the other two charges already fixed in place)? Submit Help Copyright O 2015 Department of Physics, University o Illinois at Urbana-Champaign Interactive Example Particle Beam Standard Exercise Work Interactive Example Three Charges Standard Exercise Charges in 1D Standard Exercise Electric Potential Energy r Screenshot taken Click to view Copy to clipboard X 2:14Explanation / Answer
let
q1 = +5 micro C
q2 = -8 micro C
q3 = +4 micro C
Potential at mid point due the other two charges, V = k*q1/d1 + k*q2/d2
= 9*10^9*5*10^-6/0.02 - 9*10^9*8*10^-6/0.04
= 4.5*10^5 volts
potential at inifite point = 0
so, workdone in bringing the third charge, W = q3*delta_V
= +4*10^-6*4.5*10^5
= 1.8 J <<<<<<<-------Answer
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