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Q.

The figure shows two infinite parallel sheets of current, with current per unit length $λ_{1}$ and $λ_{2}$ .If $B_{P}$ , $B_{Q}$ and $B_{R}$ represent the magnetic field at the points P,Q and R respectively, then

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a

$B_{Q} = (\frac{λ_{1} - λ_{2}}{2}) μ_{0}$ ,along –x-axis

b

$B_{P} = (\frac{λ_{1} + λ_{2}}{2}) μ_{0}$ ,along x-axis

c

$B_{Q} = (\frac{λ_{1} - λ_{2}}{2}) μ_{0}$ ,along x-axis

d

$B_{R} = (\frac{λ_{1} + λ_{2}}{2}) μ_{0}$ ,along x-axis

answer is B, C.

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Detailed Solution

$B = \frac{μ_{0} λ}{2} B_{Q} = \frac{μ_{0} λ_{1}}{2} - \frac{μ_{0} λ_{2}}{2} B_{R} = \frac{μ_{0} λ_{1}}{2} + \frac{μ_{0} λ_{2}}{2}$

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