Two positive charges q1 and q2 are moving with velocities v1 and v2 when they are at points A and B, respectively, as shown in figure. The magnetic force experienced by charge q1 due to the other charge q2 is
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a
μ0q1q2v1v282πa2
b
μ0q1q2v1v242πa2
c
μ0q1q2v1v222πa2
d
μ0q1q2v1v22πa2
answer is A.
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Detailed Solution
Magnetic field at A due to q2 : B→2=μ04πq2v2rsin45°r3k^ where r=2a ⇒ B→2=μ04πq2v222a2k^ Force on q1:F→=q1v→1×B→2=μ04πq1q2v1v222a2(-j^)
Two positive charges q1 and q2 are moving with velocities v1 and v2 when they are at points A and B, respectively, as shown in figure. The magnetic force experienced by charge q1 due to the other charge q2 is