Question

In the rectangle of the figure the sides have lengths 6.09 cm and 17.2 cm, q₁ = -5.21 μC, and q₂ = +2.35 μC. 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 q3= +2.99 μC 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?

------------ B------------+.

Answer 1

boyut 0.0609 - 012 a) electric Potential at A= electric potential at A due to q, t electric potential at A due tog - 4060 0.172 4n6o 0.0609 s - i (-5:21x106 + 4T60 I 0,172 2:35x1056 oiolog , = 9x108x160 (- 5.21 10.172 + 2.35 0.0609 91102 ( +30.25 +38.99) - 30.29 + 38.59) 2 9x108x 8.3 volt 7,47 x lof volt VA b) Similerity, electric Botential at B=L a i orolog + a2 0.172 / YAEO 6 - 5.21 +2:35 10.0609 0.1727 - 9x183 - 85.55 +13.66) volt tros = 6*7 xlo® voit CSScanned with CamScanner

work done = q (VA-VD) butting He Value - = 2.99710-6 [7.47 8104 -(-6.47 xlory] = 2.99 x 10-67,47 +64.70 ] x 10" = 215.76810 Joule 2 2.1578 x 10 Joule the electric potential energy is depends only upon the potential difference re. it depends only upon the Initial and final position. Hus - work done will remain fame and it is Independent زه : اله He work done will Rame either we are taking from diagonal, or inside the rectangy, or outside Hirectangle the work done will always be same in every path. -CSSeanned-with-Gam Seenner