For the circuit shown in Figure P 13.4-10, (a) derive an expression for the magnitude

Chapter 13, Problem P13.4-10

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QUESTION:

For the circuit shown in Figure P 13.4-10,

(a) derive an expression for the magnitude response \(\left|\mathbf{Z}_{\text {in }}\right|\) versus \(\omega\),

(b) sketch \(\left|\mathbf{Z}_{\text {in }}\right|\) versus \(\omega\), and

(c) find \(\left|\mathbf{Z}_{\text {in }}\right|\) at \(\omega=1 / \sqrt{L C}\).

Questions & Answers

QUESTION:

For the circuit shown in Figure P 13.4-10,

(a) derive an expression for the magnitude response \(\left|\mathbf{Z}_{\text {in }}\right|\) versus \(\omega\),

(b) sketch \(\left|\mathbf{Z}_{\text {in }}\right|\) versus \(\omega\), and

(c) find \(\left|\mathbf{Z}_{\text {in }}\right|\) at \(\omega=1 / \sqrt{L C}\).

ANSWER:

Step 1 of 7

(a)

Letting,

       

       

       

         —---- (1)

 

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