Chapter 24, Problem 051 In the rectangle of the figure the sides have lengths 4.

Question

Chapter 24, Problem 051 In the rectangle of the figure the sides have lengths 4.40 cm and 13.0 cm, q1 =-4.50 C, and q2 = +2.31 C. With V-0 at infinity, what is the electric potential at (a) corner A and (b) corner B? (c) How much work is required to move a charge q 3 = + 3.04 C from B to A along a diagonal of the rectangle? (d) Does this work increase or decrease the electric potential energy of the three-charge system? Is more, less, or the same work required if q3 is moved along a path that is (e) inside the rectangle but not on a diagonal and (f) outside the rectangle? 2 Units Units Units

Explanation / Answer

(A) V = k q / r

Va = (9 x 10^9 x -4.50 x 10^-6)/(0.13) + (9 x 10^9 x 2.31 x10^-6)/(0.0440)

Va = 1.61 x 10^5 Volt

(B) at corner B,

Vb =(9 x 10^9 x -4.50 x 10^-6)/(0.044) + (9 x 10^9 x 2.31 x10^-6)/(0.13)

Vb = - 7.61 x 10^5 Volt

(C) Work required = q deltaV

= (3.04 x 10^-6) (-7.61 - 1.61) x 10^5

= -2.80 J

magnitude of work = 2.80 J

(D) this decreases the electric potential energy of system,

(E) work does not depends on path taken. It depends only on initial and final location.

same work

(f) same work

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