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Two metal sheets of infinite width carry...

Two metal sheets of infinite width carrying current K per unit width, as shown in the figure, are kept parallel to each other. The direction of current in both the sheets is opposite to each other. A charged particle q of mass m is projected with a speed u perpendicularly into the plane of paper. What will be the radius of the circular path traversed by the charged particle due to magnetic field of sheets?

Text Solution

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in the given arrangement of sheets of current, magnetic field of two sheets, in-between them are added. Magnetic field due to one sheet is `B_(1) = mu_(0)K//2`. Hence, the net magnetic field due to both the sheets in between them will be:
` B = 2 xx B_(1) = mu_(0)K`
When the charged particle is projected perpendicular to the magnetic field then its radius of circular motion is given by:
` r = (mv)/(qB) = (mv)/(mu_(0)qK) `
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