1. What is Series and Parallel Resistor Combination?

Resistors can be connected in series (end-to-end) or parallel (side-by-side) configurations, each resulting in different equivalent resistances. The calculator helps determine the combined resistance of multiple resistors in either configuration.

2. How Does the Calculator Work?

The calculator uses these fundamental formulas:

Where:

• \( R_{eq} \) — Equivalent resistance (Ω)
• \( R_1, R_2, \ldots, R_n \) — Individual resistor values (Ω)

Explanation: In series, resistances add directly. In parallel, the reciprocals of resistances add together, then you take the reciprocal of the sum.

3. Importance of Equivalent Resistance

Details: Calculating equivalent resistance is fundamental in circuit analysis, helping simplify complex circuits and determine total current flow and voltage drops.

4. Using the Calculator

Tips: Enter resistor values separated by commas (e.g., "100,200,300"). Select series or parallel configuration. All resistor values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What happens to current in series vs parallel?
A: In series, current is same through all resistors. In parallel, current divides among branches.

Q2: Which gives higher resistance - series or parallel?
A: Series combinations always give higher equivalent resistance than any individual resistor. Parallel combinations give lower equivalent resistance.

Q3: Can I mix series and parallel?
A: Yes, complex networks can be analyzed by simplifying sections step by step.

Q4: What about more than two resistors in parallel?
A: The same formula applies - just add more terms to the reciprocal sum.

Q5: How accurate is this calculator?
A: It provides theoretical values assuming ideal resistors. Real resistors have tolerances that affect actual circuit behavior.