Physics - EMI/AC Question with Solution | TestHub

$\text{I}=\frac{\text{v}}{\text{R}}\left(1-{\text{e}}^{-\frac{\text{Rt}}{\text{L}}}\right)$

$\frac{{\text{I}}_1}{{\text{I}}_2}=\frac{\left(1-{\text{e}}^{-\frac{{\text{Rt}}_1}{\text{L}}}\right)}{\left(1-{\text{e}}^{-\frac{\text{R}{\text{t}}_2}{\text{L}}}\right)}$

$=\frac{\left(1-{\text{e}}^{-2{\text{t}}_1}\right)}{\left(1-{\text{e}}^{-2{\text{t}}_2}\right)}$

For${\mathrm{t}}_1=\infty \&{\mathrm{t}}_2=1,\frac{{\mathrm{I}}_1}{{\mathrm{I}}_2}$$=\left(\frac{1}{1-{\text{e}}^{-2}}\right)=\left(\frac{{\text{e}}^2}{{\text{e}}^2-1}\right)$