A) \[\frac{\sqrt{5}{{\mu }_{0}}I}{2R}\]
B) \[\frac{3{{\mu }_{0}}I}{2R}\]
C) \[\frac{{{\mu }_{0}}I}{2R}\]
D) \[\frac{{{\mu }_{0}}I}{R}\]
Correct Answer: A
Solution :
[a] The magnetic field at the centre of circular current carrying coil of radius R and current |
\[I,B=\frac{{{\mu }_{0}}I}{2R}\] |
Similarly, if current \[=2I,\] then |
Magnetic field \[=\frac{{{\mu }_{0}}2I}{2R}=2B\] |
So, resultant magnetic field |
\[=\sqrt{{{B}^{2}}+{{(2B)}^{2}}}=\sqrt{5{{B}^{2}}}=\sqrt{5}B\] |
\[=\frac{{{\mu }_{0}}I\sqrt{5}}{2R}\] |
You need to login to perform this action.
You will be redirected in
3 sec