Consider an infinite conducting sheet carrying a current(traveling in the z dire

Question

Consider an infinite conducting sheet carrying a current(traveling in the z direction). The current per unit width (alongthe x-direction) is i amps per meter. A point charge q(q>0) of mass m is emitted toward the sheetfrom above with an initial velocity v in the negative y direction.What is the direction of the magnetic force on q at the initialpoint/ the point charge will undergo a circular motion. What is theradius of the circle? (If you don't know the answer of B, you cansimply assume the magnetic field is B and answer this question interms of B.) Consider an infinite conducting sheet carrying a current(traveling in the z direction). The current per unit width (alongthe x-direction) is i amps per meter. A point charge q(q>0) of mass m is emitted toward the sheetfrom above with an initial velocity v in the negative y direction.What is the direction of the magnetic force on q at the initialpoint/ the point charge will undergo a circular motion. What is theradius of the circle? (If you don't know the answer of B, you cansimply assume the magnetic field is B and answer this question interms of B.)

Explanation / Answer

use Ampere's law to get B = o i /2 F = qvB = o q v i /2, direction: -x F = mv2/R R = 2mv/(oq i)

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