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 4.11 cm and 14.9 cm, q1 = -4.75 pc, and q2 = +2.09 uC. 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 935 + 2.//IC 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? Units Units Units :

Explanation / Answer

Given,

L = 4.11 cm ; B = 14.9 cm

a)We know that the electric potential due to a point charge is given by:

V = kQ/r

At any point it will be the sum of induvidual potentials

V(A) = k q1/r1 + k q2/r2

V(A) = 9 x 10^9 x 10^-6 [-4.75/0.149 + 2.09/0.0411] = 1.71 x 10^5 V

Hence, V(A) = 1.71 x 10^5 V

b)V(B) = 9 x 10^9 x 10^-6 [-4.75/0.0411 + 2.09/0.149] = -9.14 x 10^5 V

Hence, -9.14 x 10^5 V

c)W = q3 (V(A) - V(B))

W = 2.77 x 10^-6 [(1.71 x 10^5 + 9.14 x 10^5)] = 3 J

Hence, W = 3 J

d)Increases

e)same

since, W = q delta V

independent of path used.

f)same

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