A) \[\frac{\sqrt{3}}{4}\frac{{{\ell }^{2}}}{R}\]
B) \[\frac{4}{\sqrt{3}}\frac{{{\ell }^{2}}}{R}\]
C) \[\frac{\sqrt{3}}{4}\,\frac{R}{{{\ell }^{2}}}\]
D) \[\frac{4}{\sqrt{3}}\frac{R}{{{\ell }^{2}}}\]
Correct Answer: A
Solution :
[a] \[\phi =\frac{\sqrt{3}}{4}{{\ell }^{2}}B\] \[\varepsilon =\left| \left. \frac{d\phi }{dt} \right| \right.=\frac{\sqrt{3}}{4}{{\ell }^{2}}\frac{dB}{dt}\] \[i=\frac{\varepsilon }{R}=\frac{\sqrt{3}{{\ell }^{2}}}{4R}\]
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