A) \[3.142A\,{{m}^{2}}\]
B) \[3.142\times {{10}^{4}}\text{ }A\text{ }{{m}^{2}}\]
C) \[3A\,{{m}^{2}}\]
D) \[{{10}^{4}}A\,{{m}^{2}}\]
Correct Answer: A
Solution :
: Here, Radius, \[r=10cm=10\times {{10}^{-2}}m\] Number of turns, \[N=100\] Current, \[I=1A\] Area of the coil, \[A=\pi {{r}^{2}}\] Magnetic moment of the coil, \[M=NIA=NI\pi {{r}^{2}}\] \[=100\times 1\times 3.142\times {{(10\times {{10}^{-2}})}^{2}}A\,{{m}^{2}}\] \[=3.132A\,{{m}^{2}}\]
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