The accompanying schematic diagram represents an electricalcircuit consisting of an

Chapter 3, Problem 63

(choose chapter or problem)

The accompanying schematic diagram represents an electrical circuit consisting of an electromotive force that produces a voltage V, a resistor with resistance R, and an inductor with inductance L. It is shown in electrical circuit theory that if the voltage is first applied at time \(t=0\), then the current I flowing through the circuit at time t is given by

\(I=\frac{V}{R}\left(1-e^{-R t / L}\right)\)

What is the effect on the current at a fixed time t if the resistance approaches 0 (i.e., R \(\rightarrow 0^{+}\) )?

Equation Transcription:

Text Transcription:

t=0

I=V/R (1-e^-Rt/L )

R right arrow 0^+

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