A) \[\frac{{{\mu }_{0}}{{i}^{2}}}{{{b}^{2}}}\]
B) \[\frac{{{\mu }_{0}}{{i}^{2}}}{2\pi b}\]
C) \[\frac{{{\mu }_{0}}i}{2\pi b}\]
D) \[\frac{{{\mu }_{0}}{{i}^{2}}}{2\pi {{b}^{2}}}\]
Correct Answer: B
Solution :
It is experimentally observed that two current carrying conductors attract each other when current in them are in the same direction and repel, when in opposite direction. The force per unit length between the wires is given by \[\frac{F}{l}=\frac{{{\mu }_{0}}}{2\pi }\frac{{{i}_{1}}{{i}_{2}}}{b}\] When \[{{i}_{1}}={{i}_{2}}=i\] \[\frac{F}{l}=\frac{{{\mu }_{0}}}{2\pi }=\frac{{{i}^{2}}}{b}\]You need to login to perform this action.
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