Two very long and straight parallel conductors separated by 0.5 m in v

1.	Two very long and straight parallel conductors separated by 0.5 m in vacuum carry currents 2 A and 3 A respectively. What is the force per unit length of a conductor? [ \(\cfrac{\mu_0}{4\pi}\) = 10-7 Wb/A∙m]
Answer» The force per unit length on each conductor, \(\cfrac FI\)= \(\left(\cfrac{\mu_0}{4\pi}\right)\) \(\cfrac{2I_1I_2}s\) = (10^-7 Wb/Am) \(\cfrac{2(2A)(3A)}{0.5\,m}\) = 2.4 x 10^-6 N

Two very long and straight parallel conductors separated by 0.5 m in vacuum carry currents 2 A and 3 A respectively. What is the force per unit length of a conductor? [ \(\cfrac{\mu_0}{4\pi}\) = 10-7 Wb/A∙m]

Answer»

The force per unit length on each conductor,

\(\cfrac FI\)= \(\left(\cfrac{\mu_0}{4\pi}\right)\) \(\cfrac{2I_1I_2}s\)

= (10^-7 Wb/Am) \(\cfrac{2(2A)(3A)}{0.5\,m}\)

= 2.4 x 10^-6 N