1. What is Parallel Resistance?

Parallel resistance refers to the equivalent resistance of multiple resistors connected in parallel in an electrical circuit. The total resistance is always less than the smallest individual resistance in the parallel network.

2. How Does the Calculator Work?

The calculator uses the parallel resistance formula:

Where:

• \( Z_{eq} \) — Equivalent parallel resistance (ohms)
• \( R_1, R_2, \ldots, R_n \) — Individual resistances (ohms)

Explanation: The reciprocal of the total resistance equals the sum of the reciprocals of each individual resistance.

3. Importance of Parallel Resistance Calculation

Details: Calculating parallel resistance is essential for designing circuits, determining current flow, and analyzing complex electrical networks.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What happens when resistors are connected in parallel?
A: The total resistance decreases, and the total current increases compared to a single resistor.

Q2: What's the difference between series and parallel resistance?
A: Series resistances add directly (R1 + R2), while parallel resistances add reciprocally (1/R1 + 1/R2).

Q3: What is the special case for two parallel resistors?
A: The formula simplifies to (R1 × R2)/(R1 + R2).

Q4: Why does parallel resistance decrease?
A: More parallel paths provide more ways for current to flow, effectively reducing total resistance.

Q5: How does parallel resistance affect power dissipation?
A: Each resistor dissipates power independently, but total power increases compared to a single resistor.