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A disk of radius R is held parallel above the center of an infinite plane at a d

ID: 2149913 • Letter: A

Question

A disk of radius R is held parallel above the center of an infinite plane at a distance d. The disk and the plane are connected by a thin, massless, conducting wire that is long enough so that there is no tension. Since the disk and the plane are positively charged, they repel. At equilibrium, the disk has charge q1 and the plane has a charge q2. Ignoring gravity, what is the ratio q1/q2? <?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /?>

Explanation / Answer

Since the Wire has no Tenstion Charge distribution takes place until they are balanced with Electric fields => E should be same both sides we have system at equilibrium at euilibrium E disk => phi = E*2A = q1/e ==>E = q1/2Ae E due to plane => phi = E*2A = q2/e Hence we the ratio = 1

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