A particle of mass m and charge q is at distance d from the current sheet of the previous question and is projected directly toward the sheet. What is the maximum speed for which it just avoids hitting the sheet?
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Question

A particle of mass m and charge q is at distance d from the current sheet of the previous question and is projected directly toward the sheet. What is the maximum speed for which it just avoids hitting the sheet?

Options

G1 Physics · Accepted Answer

The sheet field is B=μ₀K/2. The particle moves in a circle of radius r=mv/(qB). For the limiting trajectory that just touches the sheet, r=d. Hence v=qBd/m=μ₀qKd/(2m). Therefore A.