Ohm's Law is a fundamental concept in electronics and plays a key role in circuit analysis. It states that the current flowing through a conductor is directly proportional to the voltage across it, and inversely proportional to its resistance. Mathematically, Ohm's Law can be expressed as V = I * R, where V is the voltage, I is the current, and R is the resistance.

To apply Ohm's Law in circuit analysis, let's consider a series circuit. In a series circuit, the components are connected end-to-end, forming a single path for the current to flow through. The total resistance in a series circuit is the sum of individual resistances. For example, if we have two resistors with resistances R1 and R2 connected in series, the total resistance would be R_total = R1 + R2.

In a parallel circuit, the components are connected in separate branches, creating multiple paths for the current. The total resistance in a parallel circuit can be calculated using the formula 1/R_total = 1/R1 + 1/R2 + .... This means that the total resistance in a parallel circuit is less than the smallest individual resistance. It's important to note that the voltage across each component connected in parallel remains the same while the current divides among the branches.

By applying Ohm's Law and understanding the concepts of series and parallel circuits, we can easily calculate the values of voltage, current, and resistance in various types of circuits.