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A uniform beam of positively charged particles is moving with a constant velocity parallel to another beam of negatively charged particles moving with the same velocity in opposite direction seperated by a distance d. The variation of magnetic field B along a perpendicular line drawn between the two beams is best represented by

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answer is D.

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Detailed Solution

$B_{P} = \frac{μ_{0} i}{2 π} = (\frac{1}{x} - \frac{1}{d - x})$

$= \frac{μ_{0} i}{2 π} (\frac{d - 2 x}{x (d - x)})$

$= \frac{μ_{0} i}{2 π} (\frac{1 - \frac{2 x}{d}}{x (1 - \frac{x}{d})}) = \frac{μ_{0} i}{2 πx} (\frac{1 - \frac{2 x}{d}}{1 - x / d})$

The suitable graph for the expression is

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