The magnetic field due to a current carrying circular loop of radius $3\, cm$ at a point on the axis at a distance of $4\, cm$ from the centre is $54\, \mu T$. What will be its value at the centre of the loop.......$\mu T$
AIEEE 2004, Medium
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(a)$\frac{{{B_{center}}}}{{{B_{axis}}}} = {\left( {1 + \frac{{{x^2}}}{{{r^2}}}} \right)^{3/2}} $
$\Rightarrow \frac{{{B_{center}}}}{{54}} = {\left( {1 + {{\left( {\frac{4}{3}} \right)}^2}} \right)^{3/2}} = \frac{{125}}{{27}}$
${B_{center}} = 250\,\mu T$
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