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(Solved):   In the rectangle of the figure the sides have lengths \( 6.15 \mathrm{~cm} \) and \( 17.1 ...



In the rectangle of the figure the sides have lengths \( 6.15 \mathrm{~cm} \) and \( 17.1 \mathrm{~cm}, q_{1}=-4.81 \mu \math

 

In the rectangle of the figure the sides have lengths \( 6.15 \mathrm{~cm} \) and \( 17.1 \mathrm{~cm}, q_{1}=-4.81 \mu \mathrm{C} \), and \( q_{2}=+1.83 \mu \mathrm{C} \). With \( \mathrm{V}=0 \) 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 \( q_{3}=+2.79 \mu \mathrm{C} \) from B to \( \mathrm{A} \) 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? (a) Units (b) Units


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a) For corner A : r1 = distance of q1 from corner A , = 17.1 cm = 0.171 m r2 = distance of q2 from corner A , = 6.15 cm = 0.0615 m Electric potential at A is given as VA = k q1/r1 + k q2/r2 VA = (9 x 109)(- 4.81 x 10-6)/(0.171) + (9 x
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