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A point charge q 1 = +2.40 C is held stationary at the origin. A second point ch

ID: 1396709 • Letter: A

Question

A point charge q1 = +2.40 C is held stationary at the origin. A second point charge

q2 = -4.30 C moves from point a (x = 0.150 m, y =0) to point b (x = 0.250 m, y = 0.250 m).

What is the electric potential energy of the system when q1 is at the origin and q2 is in the original position?

What is the electric potential energy of the system when q1 is at the origin and q2 is in the final position?

How much work is done by the electric force on q2 to move it from the original position to the final position?

Explanation / Answer

given are

q1 = +2.40 C

q2 = -4.30 C

a (x = 0.150 m, y =0)

b (x = 0.250 m, y = 0.250 m).

What is the electric potential energy of the system when q1 is at the origin and q2 is in the original position?

Ua=kq1q2/x1

=9*10^9*2.4*10^-6*(-4.30*10^-6)/0.150

Ua=-0.6192J--answer to a

What is the electric potential energy of the system when q1 is at the origin and q2 is in the final position?

Ub=kq1q2/undrt(x^2+y^2)

=9*10^9*2.4*10^-6*(-4.30*10^-6)/undrt(0.25^2+0.25^2)

=-0.2627J--answer to b

How much work is done by the electric force on q2 to move it from the original position to the final position?

W=-(Ub-Ua)

=-(-0.2627-(0.6192))

W=-0.3565J--answer to c

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