Assignment 2- Electric Charges and Forces

# Assignment 2- Electric Charges and Forces - Coulomb's Law...

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Coulomb's Law Tutorial Learning Goal: To understand how to calculate forces between charged particles, particularly the dependence on the sign of the charges and the distance between them. Coulomb's law describes the force that two charged particles exert on each other (by Newton's third law, those two forces must be equal and opposite). The force exerted by particle 2 (with charge ) on particle 1 (with charge ) is proportional to the charge of each particle and inversely proportional to the square of the distance between them: , where and is the unit vector pointing from particle 2 to particle 1. The force vector will be parallel or antiparallel to the direction of , parallel if the product and antiparallel if ; the force is attractive if the charges are of opposite sign and repulsive if the charges are of the same sign.

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Coulomb's Law Tutorial Part A Consider two positively charged particles, one of charge (particle 0) fixed at the origin, and another of charge (particle 1) fixed on the y -axis at . What is the net force on particle 0 due to particle 1? Express your answer (a vector) using any or all of , , , , , , and . ANSWER: = Correct
Coulomb's Law Tutorial Part A Part B Now add a third, negatively charged, particle, whose charge is (particle 2). Particle 2 fixed on the y -axis at position . What is the new net force on particle 0, from particle 1 and particle 2? Express your answer (a vector) using any or all of , , , , , , , , and . ANSWER:

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Coulomb's Law Tutorial Part A Part C Particle 0 experiences a repulsion from particle 1 and an attraction toward particle 2. For certain values of and , the repulsion and attraction should balance each other, resulting in no net force. For what ratio is there no net force on particle 0? Express your answer in terms of any or all of the following variables: , , , . ANSWER: = Correct Part D
Coulomb's Law Tutorial Part C Now add a fourth charged particle, particle 3, with positive charge , fixed in the yz -plane at . What is the net force on particle 0 due solely to this charge? Hint D.1 Find the magnitude of force from particle 3 What is the magnitude of the force on particle 0 from particle 3, fixed at ? Hint D.1.1 Hint not displayed

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Part C Hint D.1 Find the magnitude of force from particle 3 Express your answer using , , , . ANSWER: = Correct Hint D.2 Vector components The force vector points from to . Because is symmetrically located between the y -axis and the z -axis, the angle between , the unit vector pointing from particle 3 to particle 0, and the y - axis is radians. You have already calculated the magnitude of the vector above. Now break up the force vector into its y and z components. Express your answer (a vector) using
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## This note was uploaded on 04/18/2010 for the course PHYS ? taught by Professor Zhou during the Spring '10 term at Georgia State University, Atlanta.

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Assignment 2- Electric Charges and Forces - Coulomb's Law...

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