The current i(t) flowing through a 1 resistor is given by i(t) = 5e10t mA, t 0. (a)

Chapter 8, Problem 12

(choose chapter or problem)

The current i(t) flowing through a \(1\ \Omega\) resistor is given by \(i(t) = 5e^{−10t}\ mA,\ t\ \geq\ 0\). (a) Determine the values of t for which the resistor voltage magnitude is equal to 5 V, 2.5 V, 0.5 V, and 5 mV. (b) Graph the function over the range of \(0\ \leq\ t\ \leq\ 1\ s\) using linear scales for both axes. (c) Draw a tangent to your curve at t = 100 ms, and determine where the tangent intersects the time axis.

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