A) \[\frac{35}{4}{{\mu }_{0}}\]
B) \[\frac{{{\mu }_{0}}}{80}\]
C) \[\frac{7}{80}{{\mu }_{0}}\]
D) \[\frac{5}{4}{{\mu }_{0}}\]
Correct Answer: D
Solution :
Two coils carrying current in opposite direction, hence net magnetic field at centre will be difference of the two fields. i.e. \[{{B}_{net}}=\frac{{{\mu }_{0}}}{4\pi }\cdot 2\pi N\left[ \frac{N{{i}_{1}}}{{{r}_{1}}}-\frac{{{i}_{2}}}{{{r}_{2}}} \right]\]\[=\frac{10{{\mu }_{0}}}{2}\left[ \frac{0.2}{0.2}-\frac{0.3}{0.4} \right]=\frac{5}{4}{{\mu }_{0}}\]
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