Consider the LR circuit shown in the figure. If the switch S is closed at t=0 then the amount of charge that passes through the battery between t=0 and t=\frac{L}{R} is : 

 

  • Option 1)

     \frac{2.7EL}{R^{2}}

     

     

     

  • Option 2)

    \frac{EL}{2.7R^{2}}

  • Option 3)

    \frac{7.3EL}{R^{2}}

  • Option 4)

    \frac{EL}{7.3R^{2}}

 

Answers (1)

 

Inductance -

It is the property of electrical circuits which oppose any change in the  current in the circuits.

-

 

 

q=\int Idt

I=\frac{E}{R}[1-e\frac{-Rt}{L}]

q=\int ^{L/R}_{o}\frac{E}{R}\left [ 1-e^{-\frac{R}{L}t}\right ]dt

q=\frac{EL}{R^{2}}\times \frac{1}{e}

\Rightarrow \frac{EL}{2.7R^{2}}


Option 1)

 \frac{2.7EL}{R^{2}}

 

 

 

Option 2)

\frac{EL}{2.7R^{2}}

Option 3)

\frac{7.3EL}{R^{2}}

Option 4)

\frac{EL}{7.3R^{2}}

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