The magnetic moment of a current loop is $2.1 × 10^{-25} A m^2$. The magnetic field on the axis of the loop at a distance of 1.0 Å from the loop would be: (Given radius of loop negligible) |
$24×10^{-2} T$ $2.4×10^2 T$ $4.2 × 10^{-2} T$ $42×10^2 T$ |
$4.2 × 10^{-2} T$ |
The correct answer is Option (3) → $4.2 × 10^{-2} T$ The formula for the Magnetic field B at a distance 'r' from the center of the current loop is - $B=\frac{μ_0}{4π}.\frac{2M}{r^3}$ where, M = Magnetic Moment = $2.1×10^{-25}$ [Given] $∴B=\frac{μ_0}{4π}×\frac{2(2.1×10^{-25})}{(1.0×10^{-10})^3}$ $=10^{-7}×\frac{2(4.2×10^{-25})}{(1.0×10^{-10})^3}$ $=4.2 × 10^{-2} T$ |