P8.3-24 Consider the circuit shown in Figure 8.3-24a and corresponding plot of the inductor current shown in Figure 8.3-24b. Determine the values of L, , and.

Answer: L = 4.8 H, = 200 W, and , = 300 W.

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

Figure P 8.3-24

By examining the plot we can identify that

So

And

So the current can be expressed as

Now consider circuit for t < 0

So current is just from simple series circuit so

Solving for R₁

After the switch is thrown and the circuit reaches steady state we have

Current now is due to an effective resistance

So current is

Finally using the time constant we have

Solving for inductance

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This page last updated on July 9, 2019