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  • In the circuit shown in figure switch S is closed at time t = 0. Which statement is true after one time constant? <img alt="" src="https://cdn.entrance360.com/media/uploads/2023/08/07/da.

In the circuit shown in figure switch S is closed at time t = 0. Which statement is true after one time constant?

Option: 1

Flux linked with Inductor  \mathrm{\frac{2 L \varepsilon}{R}\left(1-e^{-1}\right)}


Option: 2

Current through battery  \mathrm{\frac{\varepsilon}{2 R}\left(1-e^{-1}\right)}


Option: 3

Flux linked with Inductor  \mathrm{\frac{\mathrm{L} \varepsilon}{\mathrm{R}}\left(1-\mathrm{e}^{-1}\right)}


Option: 4

Current through battery \mathrm{\frac{2 \varepsilon}{\mathrm{R}}}


Answers (1)

best_answer

\mathrm{\begin{aligned} & \mathrm{I}_1=\frac{\varepsilon}{\mathrm{R}} \\ & \mathrm{I}_1=\frac{\varepsilon}{\mathrm{R}}\left(1-\mathrm{e}^{-\frac{\mathrm{R} \mathrm{t}}{\mathrm{L}}}\right)=\frac{\varepsilon}{\mathrm{R}}\left(1-\mathrm{e}^{-1}\right) \end{aligned}}

\mathrm{\text { flux blocked }=\mathrm{LI}_1=\frac{\mathrm{L} \varepsilon}{\mathrm{R}}\left(1-\mathrm{e}^{-1}\right)}

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Pankaj

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