vault backup: 2026-05-13 16:57:04

voltage-drop.md

@@ -1,4 +1,6 @@
 ---
+aliases:
+  - voltage drop
 title: Voltage Drop
 tags:
   - type/encyclopedia-entry
@@ -6,6 +8,9 @@ up: "[[electricity]]"
 ---
 # Voltage Drop
 
+**Voltage drop** is an observed decrease in voltage
+as measured between a source and load.
+
 > [!info] Ohm's Law
 >
 > $$
@@ -25,6 +30,17 @@ where
 * $X$ = Reactance
 * $\theta$ = Power factor angle = $\arccos(\text{PF})$
 
+$$
+|Z| = \sqrt{ R^{2} + X^{2} }
+$$
+
+
+> [!info] Inverse Trig Function Notation
+> $\arccos(x) \equiv \cos^{-1}(x)$
+
+$$
+\sin(\cos^{-1}(x)) = \sqrt{ 1 - x^{2} }
+$$
 ### Parallel Runs
 
 The equivalent resistance of parallel resistances is given by
@@ -113,8 +129,8 @@ where
 
 When exact length is known,
 it is often most useful to calculate the linear resistance
-that will result in a specified voltage drop,
-the maximum linear resistance for a specific feeder.
+that will result in a specified voltage drop.
+That is, the maximum linear resistance for a specific feeder.
 
 $$
 Z = \frac{ \Delta V }{ I \times M \times L }