E-CodeRLC resonance, Q, bandwidth and impedance — a TI-89 Titanium program
RLC89 is a TI-89 BASIC program for the TI-89 Titanium. Series or parallel RLC (drop-down): resonant frequency, quality factor, bandwidth, and the impedance magnitude and phase at any frequency — each formula is one of your own Define'd functions.
What it asks for and what it shows
It asks for 4 values at its prompts, after you pick option 1 from its menu. In the example below it shows F0 HZ, Q, BW HZ, Z OHM, PHASE DEG.
Example run
One of its oracle test cases: “series RLC at 60 Hz”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Menu | option 1 |
| Input 1 | 10 |
| Input 2 | 0.05 |
| Input 3 | 0.0001 |
| Input 4 | 60 |
| The screen shows | |
F0 HZ= | 71.17625434 |
Q= | 2.236067977 |
BW HZ= | 31.83098862 |
Z OHM= | 12.60654946 |
PHASE DEG= | -37.51081015 |
How it's checked
4 test cases, each checked against an independent method. Replayed key by key on a virtual TI-89 Titanium, they make 24 checks.
How E-Code checks every program
Run it or put it on your calculator
- Open the library in the TI-89 Titanium calculator and pick “RLC resonance, Q, bandwidth and impedance” (RLC89).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.