[JEE Main 12-4-2019 Afternoon]
A) \[\frac{EL}{7.3{{R}^{2}}}\]
B) \[\frac{EL}{2.7{{R}^{2}}}\]
C) \[\frac{7.3EL}{{{R}^{2}}}\]
D) \[\frac{2.7EL}{{{R}^{2}}}\]
Correct Answer: B
Solution :
\[q=\int_{{}}^{{}}{Idt}\] \[q=\int\limits_{0}^{L/R}{\frac{E}{R}}\left[ 1-{{e}^{\frac{-Rt}{L}}} \right]dt\] \[q=\frac{EL}{{{R}^{2}}}\frac{1}{e}\] \[q=\frac{EL}{2.7{{R}^{2}}}\]
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