Kirchhoff's Voltage Law (KVL) states that the sum of all electrical potential differences (voltages) around any closed loop or circuit is always equal to zero. In simpler terms, the total voltage gained and lost in a loop must cancel each other out.
This is based on the principle of energy conservation — the energy supplied by sources (like batteries) is equal to the energy lost (or used) in components like resistors.
Mathematically, it can be written as:
\[
\sum V_{\text{source}} = \sum V_{\text{drop}}
\]
where:
- \( V_{\text{source}} \) is the voltage provided by power sources (like batteries),
- \( V_{\text{drop}} \) is the voltage lost across resistors or other passive components.
### Key Points:
- KVL applies to any closed loop in a circuit.
- It helps in analyzing circuits to find unknown voltages or currents.
- It's based on the principle that energy in an isolated system is conserved.
### Example:
Imagine a simple loop with a 9V battery and two resistors. If one resistor drops 4V and the other drops 5V, the total voltage around the loop is:
\[
9V - 4V - 5V = 0V
\]
That’s Kirchhoff’s Voltage Law in action!
Would you like an example of how to apply KVL in a real circuit?