Ohm's Law is a fundamental principle in electric circuits that relates the voltage across a resistor, the current flowing through it, and its resistance. It can be stated as V = I * R, where V represents voltage in volts, I represents current in amperes, and R represents resistance in ohms.

Applying Ohm's Law is essential for analyzing simple circuits. Let's consider an example: a circuit with a 12-volt battery and a 6-ohm resistor. We want to calculate the current flowing through the resistor. Using Ohm's Law, we can substitute the given values into the formula: I = V / R = 12V / 6Ω = 2A. So, the current flowing through the resistor is 2 amperes.

To analyze more complex circuits, we can apply a series of calculations using Ohm's Law, Kirchhoff's laws, and other circuit analysis techniques. This helps us determine voltage drops across components, find total resistance, and calculate currents in different branches of the circuit. It also enables us to design and troubleshoot circuits effectively.

Remember, Ohm's Law is applicable only in circuits where the resistance is constant and follows Ohm's Law. Non-linear elements, such as diodes or transistors, require more advanced analysis techniques that go beyond the scope of Ohm's Law.