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21 forever21.ci! | Cengage :Chapte × (2) RUSSIAtl Yegi Beauty | + webassign.net/web/Student/Assignment-Respotm 0 10/20 points 1 Previous Answers OSColPhys1 19 P 036 WA The equipotential lines in a region of electric field are shown in the by the electric field in moving a charge q +1.9 x 10 C along that path? Here Vo My Notes Ask Your Teat diagram below. For each path indicated below, what is the work don +150 v. 3Ve 2% A. ov (a) from A to B W 2.85e-5 (b) from A to C (c) from A to D The difference in electric potential is always final minus the initial values. 3 (d) from D to C Woc-123e-4x The difference in electric potential is always final minus the initial values. J Supporting Materials Physical Constants Additional Materials Reading

Explanation / Answer

We know that work done is given by
= change in potential*charge
(c) Work done in moving charge from A to D
WAD = (VD - VA)*q
= (2V0 - (-Vo))*q = 3Vo*q
= 3*150*1.9*10-7 = 8.55*10-5 J
(d) Similarly
WDC = (VC - VD)*q
= (-V0 - 2V0)*q
= -3Vo*q = - 8.55*10-5 J
Here - ve sign indicates that charge will move on its own because it is moving from higher to lower potential
or external work is not required to move charge from D to C.

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