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Question

# 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 :

A
μ0q1q2v1v282πa2
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B
μ0q1q2v1v242πa2
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C
μ0q1q2v1v222πa2
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D
μ0q1q2v1v22πa2
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Solution

## The correct option is A μ0q1q2v1v28√2πa2Magnetic field at A due to q2:→B2=μ04πq2v2rsin45or3^k where r=√2a where q2v2 is the current due to motion of q2⇒→B2=μ04πq2v22√2a2^kForce on q1:→F=q1→v1×→B2=μ04πq1q2v1v22√2a2(−^j)

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