Pick out the expression for force per unit length between two parallel carrying conductors if the current passing through both of them are the same?(a) \(\frac {\mu_o 2I^2}{4πb}\)(b) \(\frac {\mu_o 2I^3}{4πb}\)(c) \(\frac {\mu_o I^2}{4πb}\)(d) \(\frac {\mu_o 4I^2}{4πb}\)I had been asked this question during a job interview.This interesting question is from Ampere and Forces between Two Parallel Currents topic in portion Moving Charges and Magnetism of Physics – Class 12

Pick out the expression for force per unit length between two parallel

1.	Pick out the expression for force per unit length between two parallel carrying conductors if the current passing through both of them are the same?(a) \(\frac {\mu_o 2I^2}{4πb}\)(b) \(\frac {\mu_o 2I^3}{4πb}\)(c) \(\frac {\mu_o I^2}{4πb}\)(d) \(\frac {\mu_o 4I^2}{4πb}\)I had been asked this question during a job interview.This interesting question is from Ampere and Forces between Two Parallel Currents topic in portion Moving Charges and Magnetism of Physics – Class 12
Answer» The correct option is (B) \(\frac {\mu_o 2I^3}{4πb}\) Explanation: The expression for force between 2 parallel CURRENT carrying conductors is given by: f=\(\frac {\mu_o}{4\pi } \big [ \frac {I_1 I_2}{b} \big ] \) In this CASE, the current passing through both of them are the same, i.e. I1=I2 Therefore, the force per unit LENGTH is given as: f=\(\frac {\mu_o}{4\pi } \big [ \frac {I^2}{b} \big ] \)

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