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Question

ople Window Help xvOHornepage-Fall 2018-(), D Pearson MyLab and Mast-=Course Home ellum.ecollege.com/cour Wr.... .DHyperPhysics Single Variable al... .D The Bro Code Microsoft Office Ho.. Amazon xC A 10.5 NC Charge Is Arx x 1493 1716&OpenVellumttMAC-e34 b08be724 7ce6fd1f1950e29ede10#10001 Other Bo General Physics I Thomas & Course Home Problem 25.37 9 of 13> Two point charges 1.9 em apart have an electric potential energy-180 J . The total charge is 29 nC Part A What are the two charges? Express your answers using two significant figures. Enter your answers numerically separated by commas 41 42 nC Submit Feedback Next > 14

Explanation / Answer

PE is negative so one charge is -ve and one is +ve.

and total charge charge is +ve.

that means magnitude of +ve charge is greater than -ve charge.

so +ve charge = + q1

and -ve charge = - q2

hence q1 - q2 = 29 nC = 29 x 10^-9 C

PE = k (q1)(-q2) / r

- 180 x 10^-6 = -(9 x 10^-9)(q1 q2) / (0.019)

q1 q2 = 3.8 x 10^-16  

and q1 = (29 x 10^-9) + q2

putting in,

(29x 10^-9 + q2) q2 = 3.8 x 10^-16

q2^2 + (29 x 10^-9)q2 - 3.8 x 10^-16 = 0

q2 = 9.80 x 10^-9

so q1 = 38.8 x 10^-9

Ans: 38.8, -9.80

(do not forget minus sign)

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