Physics Problems 182

Physics Problems 182 - condition on Q for a physically real...

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178 Chapt. 22 Electric Charge c) Qualitatively where is the equilibrium position for charge q if q 1 and q 2 have diFerent signs and | q 1 | < | q 2 | ? Explain your answer. d) Qualitatively where is the equilibrium position for charge q if q 1 and q 2 have diFerent signs and | q 1 | = | q 2 | ? Explain your answer. e) The trouble with ±nd the equilibrium positions in general for the three-charges on a line case, is that the direction of the force changes when one passes a charge. If it wasn’t for that, the equation would be a simple quadratic. After a lot of thought, I think a good way to formulate the equation to solve as F = k b d 1 q 1 x 2 d 2 q 2 ( a x ) 2 B q = 0 , where d 1 = 1 for q to the negative of q 1 and positive otherwise and d 2 = 1 for q to the negative of q 2 and positive otherwise. This simpli±es to 1 y 2 Q (1 y ) 2 = 0 , where y = x/a and Q = ( d 2 q 2 ) / ( d 1 q 1 ). ²ind the general solutions for y . What is a necessary
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Unformatted text preview: condition on Q for a physically real solutions? What happens if q 1 = q 2 or q 2 = 0 (which actually violates are givens for the problem)? f) Given that q 1 and q 2 have the same signs, what are the actual physical solutions for y for | q 1 | &gt; | q 2 | and for | q 1 | &lt; | q 2 | . f) Given that q 1 and q 2 have diFerent signs, what are the actual physical solutions for y for | q 1 | &gt; | q 2 | and for | q 1 | &lt; | q 2 | . 022 qfull 00910 1 3 0 easy math: induction charging of a ball 6. A person, who is acting as a grounded conductor, touches a metal ball as a positively charged rod is brought near the ball. Then the person is removed and then the rod is removed. Is the ball charged? Explain....
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