Two positive charges `q_1 and q_2` are moving with velocities `v_1 and v_2` when they are at points A and B, respectively, as shown in Fig. The magnetic force experienced by charge `q_1 ` due to the other charge `q_2` is

Options

A. `(mu_(0)q_(1)q_(2)upsilon_(1)upsilon_(2))/(8sqrt(2)pi a^(2))`
B. `(mu_(0)q_(1)q_(2)upsilon_(1)upsilon_(2))/(4sqrt(2)pi a^(2))`
C. `(mu_(0)q_(1)q_(2)upsilon_(1)upsilon_(2))/(2sqrt(2)pi a^(2))`
D. `(mu_(0)q_(1)q_(2)upsilon_(1)upsilon_(2))/(sqrt(2)pi a^(2))`

Answer

A

Explanation

`|vec(F)_(B//A)|=|-(mu_(0))/(4pi)(q_(1)q_(2)upsilon_(1)upsilon_(2))/(2sqrt(2)a^(2))hat(i)|`
`|vec(F)_(12)|=|-(mu_(0))/(4pi)(q_(1)q_(2)upsilon_(1)upsilon_(2))/(2sqrt(2)a^(2))hat(j)|`