I really don\'t understand this problem. I need a step by stepprocess. Could som
ID: 1758313 • Letter: I
Question
I really don't understand this problem. I need a step by stepprocess. Could some one please help me. ThanksFour identical 12C charges are placed at the corners of asquare of sides 44 cm. A) Find the magnitude of the forceexerted on one of the charges. B) Find the amount of work requiredto assemble the charge distribution I believe for a) the answer is 6.6N, can any body pleaseconfirm that. B) I don't have any ideal I really don't understand this problem. I need a step by stepprocess. Could some one please help me. Thanks
Four identical 12C charges are placed at the corners of asquare of sides 44 cm. A) Find the magnitude of the forceexerted on one of the charges. B) Find the amount of work requiredto assemble the charge distribution I believe for a) the answer is 6.6N, can any body pleaseconfirm that. B) I don't have any ideal
Explanation / Answer
I got about 93 N for part a. The force is given by kQ^2/r^2 (all charges are same). Let'sconsider the bottom left charge. It has 3 forces on it. One from the top left, one from top right, and one from bottomright. The forces from top left and bottom right are equal in magnitudebecause they are the same distance away. F = kQ^2/(.44m)^2 which comes out to about 6.7 N. The force from top right is at a distance of 0.44m2, whichsquared is just 0.88 m. Using the equation for force for thisI got 3.35 N from the top right charge. Since all charges are equal, they will repel each other, and thebottom left charge will feel forces down, left, and down & left(225 deg). The down force and left force are each 6.7 N so they combine toproduce 9.5 N (pythagorean thm). Then the last force of 3.35N is also down and left, so the total force is about 12.9 N at anangle of 225 degrees. Now for part b, the work is equal to the negative of change inpotential energy. So just find the potential energy betweeneach pair of charges. This will have to be done 3times. The equation for potential energy is kq^2/r (notr^2). For potential energy you just add your answers becauseenergy is a scalar. Let me know if this helps! Mr. D.