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please help me with my homework question...Thank you! (19%) Problem 4: Charge q,

ID: 1581160 • Letter: P

Question

please help me with my homework question...Thank you!

(19%) Problem 4: Charge q,--55 nC is located at the coordinate system origin, while charge q,--5.18 nC is located at (a, 0), where a = 1.1 m. The pont P has coordinates (a, b), where b 0.65 m. A third charge g3- 6.5 nC will be placed later. y (a,b) qi 2 ©theexpertta.com 33% Part (a) Find the electric potentialP at point Pan volts. Assume the potential is zero at infinity. 33% Part (b) How much work IT in Joules, would you have to do to bring the third charge, 93, from very far away to the point p? - 33% Part (c) What is the total potential energy U, in joules, of the final configuration of three charges?

Explanation / Answer

a)Electric potential at P =potential due to q1 + potential due to q1

= k*q1/r1 + k*q2/r2

=k*(q1/r1 + q2/r2)

=9*10^9*(-5.5*10^-9/(1.1^2+0.65^2)^0.5 - 5.18*10^-9/0.65)

= -110.465 Volts

b)Work done = final energy - initial energy

=Vq - 0

= -110.465*6.95*10^-9 - 0

= -7.67732*10^-7 J

c)total energy of the system = -7.67732 + energy due to q1 and q2

=-7.67732*10^-7 + kq1q2/a

=-7.67732*10^-7 + 9*10^9*5.5*5.18*10^-18/1.1

= -5.34*10^-7 J