1. What is Parallel Resistance Calculation?

The parallel resistance calculation determines the equivalent resistance of multiple resistors connected in parallel. In a parallel circuit, the total resistance is always less than the smallest individual resistance.

2. How Does the Calculator Work?

The calculator uses the parallel resistance formula:

Where:

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

Explanation: The reciprocal of the equivalent resistance equals the sum of the reciprocals of all individual resistances in parallel.

3. Importance of Equivalent Resistance

Details: Calculating equivalent resistance is essential for circuit design, analysis, and troubleshooting in electrical and electronic systems.

4. Using the Calculator

Tips: Enter resistor values separated by commas (e.g., "100, 200, 300"). All values must be positive numbers representing resistance in ohms.

5. Frequently Asked Questions (FAQ)

Q1: What happens when resistors are in parallel?
A: In parallel connection, the voltage across each resistor is the same, but current divides among them. The equivalent resistance decreases as more resistors are added.

Q2: What is the special case for two parallel resistors?
A: For two resistors: \( R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} \)

Q3: Can I mix different resistor values in parallel?
A: Yes, resistors of any values can be connected in parallel. The calculator works with any combination of positive resistance values.

Q4: What if one resistor is zero ohms?
A: A zero-ohm resistor (short circuit) makes the equivalent resistance zero, as it provides a path of least resistance.

Q5: How does parallel resistance affect current flow?
A: Lower equivalent resistance allows more total current to flow from the voltage source, according to Ohm's Law (I = V/R).