## RLC Filter Analysis

Referring now to Fig.E.2, let's perform an *impedance
analysis* of that RLC network.

### Driving Point Impedance

By inspection, we can write

*parallel combination*of impedances and is given by the product divided by the sum of the impedances.

### Transfer Function

The transfer function in this example can similarly be found using voltage divider rule:

### Poles and Zeros

From the quadratic formula, the two poles are located at

### Impulse Response

The impulse response is again the inverse Laplace transform of the transfer function. Expanding into a sum of complex one-pole sections,

This pair of equations in two unknowns may be solved for and . The impulse response is then

**Next Section:**

Relating Pole Radius to Bandwidth

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RC Filter Analysis