| ASSERTION: For a point on the axis of a circular coil carrying Current, magnetic field is maximum at the center of the coil. |
| REASON: Magnetic field is inversely proportional to the distance of point from the circular coil. |
A) If both assertion and reason are true and reason is the correct explanation of assertion.
B) If both assertion and reason are true and reason is not the correct explanation of assertion.
C) If assertion is true but reason is false.
D) If both assertion and reason are false.
E) If assertion is false but reason is true.
Correct Answer: A
Solution :
The magnitude of the magnetic field produced due to flow of current through a circular loop at a point on its axis is given by. \[\Rightarrow \,\,\,\,\,B=\frac{{{\mu }_{0}}}{4\pi }\frac{2\pi I{{a}^{2}}}{{{\left( {{a}^{2}}+{{x}^{2}} \right)}^{\frac{3}{2}}}}\] This is maximum at center of loop, where x = 0 \[\Rightarrow \,\,\,B=\frac{{{\mu }_{0}}}{4\pi }\,\frac{2\pi I}{a}=\frac{{{\mu }_{0}}I}{2a}\]
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