Three charges, -q, +2q and +2q are placed on the corners of a triangle with all three sides having length a, as shown in the figure. The origin, O, is in the middle of the bottom side and the X and Y axes are given by the normal unit vectors, i and 3, respectively. +24 а a → î +24 b - a What is the nett electric force at the origin. Give your answer in terms of the variables a and q in unit vector notation. If a = 1 m and q = 5 µC, what are the (r, y) coordinates (in metres) where you must place a charge of -4q to make the nett electric at the origin equal to zero?

Three charges, -q, +2q and +2q are placed on the corners of a triangle with all three sides having length a, as shown in the figure. The origin, O, is in the middle of the bottom side and the X and Y axes are given by the normal unit vectors, i and 3, respectively. +24 а a → î +24 b - a What is the nett electric force at the origin. Give your answer in terms of the variables a and q in unit vector notation. If a = 1 m and q = 5 µC, what are the (r, y) coordinates (in metres) where you must place a charge of -4q to make the nett electric at the origin equal to zero?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Electric Fields

Section: Chapter Questions

Problem 23.30P: Three charged particles are at the corners of an equilateral triangle as shown in Figure P23.15. (a)...

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Panicle A of charge 3.00 104 C is at the origin, particle B of charge 6.00 104 C is at (4.00 m, 0), and panicle C of charge 1.00 104 C is at (0, 3.00 m). (a) What is the x-component of the electric force exerted by A on C? (b) What is the y-component of the force exerted by A on C? (c) Find the magnitude of the force exerted by B on C. (d) Calculate the x-component of the force exerted by B on C. (e) Calculate the y-component of the force exerted by B on C. (f) Sum the two x-components to obtain the resultant x-component of the electric force acting on C. (g) Repeat part (f) for the y-component. (h) Find the magnitude and direction of the resultant electric force acting on C.
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