Physics - EMI/AC Question with Solution | TestHub

$\varphi =MI=\int B.dA$

$MI={\int }_a^{a+b}\frac{{\mu }_{0}I}{2\pi x}\times bdx$

$M=\frac{{\mu }_{0}b}{2\pi }{\int }_a^{a+b}\frac{dx}{x}$

$M=\frac{{\mu }_{0}b}{2\pi }{\log }_{\mathrm{e}}\left[\frac{a+b}{a}\right]$

$M=\frac{{\mu }_{0}b}{2\pi }{\log }_{\mathrm{e}}\left[1+\frac{b}{a}\right]$