(25%) Problem 4: Charge q,-2.5 nC is located at the coordinate system origin. wh

Question

(25%) Problem 4: Charge q,-2.5 nC is located at the coordinate system origin. while charge q,-0.41 nC is located at (a, 0), where a = 0.65 m . The point P has coordinates (a, b), where b 0.75 m. A third charge q3-5.5 nC will be placed later (a,b) qi ©theexpertta.com 33% Part (a) Find the electric potential i P at point P in volts. Assume the potential is zero at infinity. 33% Part(b) How much work W n joules, would you have to do to bring the third charge, q3. from very far away to the point ? × 33% Part (c) What is the total potential energy U in joules, of the final configuration of three charges? Grade Summary Deductions U= 12%

Explanation / Answer

electric potential v = kq/r

a) v = v1+v2 = k(q1/sqrt(a^2+b^2)+q2/b)

v = 9*10^9*10^-9(2.5/sqrt(0.65^2+0.75^2)+0.41/0.75)

v = 27.6 V

b) w = q3*V = 5.5*10^-9*27.6 = 1.52*10^-7 J

c) u = u12+13+u23

u = 9*10^9*10^-18(2.5*0.41/0.65+2.5*5.5/0.992+0.41*5.5/0.75)

u = 9*10^-9(1.58+13.86+3.01)

u = 1.66*10^-7 J

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