ment FULL SCREEN PRINTER VERSION | BACK NEXT Chapter 24, Problem 051 In the rect
ID: 1879282 • Letter: M
Question
ment FULL SCREEN PRINTER VERSION | BACK NEXT Chapter 24, Problem 051 In the rectangle of the figure the sides have lengths 7.76 am and 19.8 crn, q .-4. 13 uc, and q2 . +1.90 pc. with V-O at infinity, what is the electric potential at (a) comer A and (b) corner 8? (c) How much work is required to move a charge q3 = 3.33C 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 UnitsExplanation / Answer
Solution,
A) Potential at point A due to q1,
V1_A = (9 x 10^9)(4.13 x 10^-6))/0.198 = - 187727.27 V
Potential at A due q2,
V2_A = (9 x 10^9)(1.9 x 10^-6)/0.0776 = 220360.82 V
Potential at A is: VA = V1_A + V2_A = -32633.55 V
B) Potential at B due to q1,
V1_B = (k q1)/0.0776 = -478994.85 V
Potential at B due to q2,
V2_B = (k q2)/0.198 = 86363.64 V
Potential at B, VB = V1_B + V2_B = -392631.21 V
C) Potential difference,
VAB = (VA - VB) = 359997.66 V
Work done,
W = (q3) x VAB = 1.20 J
D) This work will invrease the electric energy of the system, bcoz you have to bring q3 from infinity to the poing B and then take it to point A
E) It will depend only on the initial and final positions, because at different points inside the rectangle you will have different potential energy. If the U is high, W will be high
F) Answer is the same as that of part (E). If you move along a path which is sufficiently far away from this rectangle then obviousely it will be less.
Comment in case any doubt please rate my answer....
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.