diff --git a/rvals-theory1.md b/rvals-theory1.md new file mode 100644 index 0000000..e7db2e5 --- /dev/null +++ b/rvals-theory1.md @@ -0,0 +1,61 @@ +# Resistor Values and Combinations + +The schematic calls for resistor values that are not available to us without some light sorcery. This is an attempt. + +Every resistor from the pack is rated for 0.25W and has a tolerance of $\pm5%$. Want to figure out how that could affect my calculations? Me neither. + +## 90Hz-110Hz + +### low-pass +$(120 \parallel 47) + 3.3 = 37.072 \Omega$ + +### high-pass +$(68 \parallel 47) + (470 \parallel 2.2) = 28.245 \Omega$ + +## 290Hz-310Hz + +### low-pass +$(220 \parallel 68) + 2.2 + 1 = 55.144 \Omega$ + +### high-pass +Luckily, we already have 47 $\Omega$ resistors. + +## 950Hz-1050Hz + +### low-pass +$(22 \parallel 47) + 2.2 = 17.186 \Omega$ +...or alternatively: +$(10 \parallel 10) + 10 + 1 + 1 = 17 \Omega$ + +### high-pass +$(10 \parallel 10) + 10 = 15 \Omega$ + +## 3.2kHz - 3.4kHz + +## low-pass +$47 + 1 + 1 = 49 \Omega$ + +## high-pass +$22 + 22 + 1 + 1 = 46 \Omega$ + +...no one ever said we had to be clever. + +## 9khz - 11khz + +## low-pass +$(10 \parallel 10) + (68 \parallel 3.3) + 10 = 18.147 \Omega$ + +## high-pass +$(22 \parallel 22) + 1 + 1 + 1 = 14 \Omega$ + +--- + +# Bonus: some fun(?) and useful(?) resistor values + +$(10 \parallel 10) = 5 \Omega$ + +$(220 \parallel 22) = 20 \Omega$ + +$(22 \parallel 22) = 11 \Omega$ + +$(100 \parallel 150) = 60 \Omega$