Consider the circuit shown in Figure P 8.3-25a and corresponding plot of the voltage

Chapter 8, Problem P8.3-25

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QUESTION:

Consider the circuit shown in Figure P 8.3-25a and corresponding plot of the voltage across the \(40-\Omega\) resistor shown in Figure P 8.3-25b. Determine the values of L and \(R_2\).

Hint: Use the plot to determine values of D, E, F, and a such that the voltage can be represented as

\(v(t)=\left\{\begin{array}{l} D \text { for } t<0 \\ E+F e^{-a t} \text { for } t>0 \end{array}\right.\)

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QUESTION:

Consider the circuit shown in Figure P 8.3-25a and corresponding plot of the voltage across the \(40-\Omega\) resistor shown in Figure P 8.3-25b. Determine the values of L and \(R_2\).

Hint: Use the plot to determine values of D, E, F, and a such that the voltage can be represented as

\(v(t)=\left\{\begin{array}{l} D \text { for } t<0 \\ E+F e^{-a t} \text { for } t>0 \end{array}\right.\)

ANSWER:

Step 1 of 7

From the graph we can see that for  value of voltage is :

We can find  as:

When  approaches infinity its value equals:

We can find  as:

From the graph we can see that the value of  when  is:

Solving for :

=

=

Now the equation for voltage is:

 

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