Solution Found!
Consider the circuit shown in Figure P 8.3-24a and corresponding plot of the inductor
Chapter 8, Problem P8.3-24(choose chapter or problem)
Consider the circuit shown in Figure P 8.3-24a and corresponding plot of the inductor current shown in Figure P 8.3-24b. Determine the values of L, \(R_1\), and \(R_2\).
Hint: Use the plot to determine values of D, E, F, and a such that the inductor current can be represented as
\(i(t)=\left\{\begin{array}{l} D \text { for } t \leq 0 \\ E+F e^{-a t} \text { for } t \geq 0 \end{array}\right.\)
Questions & Answers
QUESTION:
Consider the circuit shown in Figure P 8.3-24a and corresponding plot of the inductor current shown in Figure P 8.3-24b. Determine the values of L, \(R_1\), and \(R_2\).
Hint: Use the plot to determine values of D, E, F, and a such that the inductor current can be represented as
\(i(t)=\left\{\begin{array}{l} D \text { for } t \leq 0 \\ E+F e^{-a t} \text { for } t \geq 0 \end{array}\right.\)
ANSWER:
Step 1 of 8
The given circuit is a first order circuit with one inductor.
The output can be expressed as:
We can rewrite this equation to get the following:
If we compare these two equations we can see that:
We can read the values of 
For 
Current of the inductor cannot change instantly:
For 
From equation 3 we can find the value of 
=
The output of the circuit, knowing these values, equals:
