1. What is Parallel Resistance?

Parallel resistance occurs when resistors are connected across the same voltage source. The equivalent resistance is always less than the smallest individual resistor in the parallel network.

2. How Does the Calculator Work?

The calculator uses the parallel resistance formula:

Where:

• \( R_{eq} \) — Equivalent parallel resistance (Ω)
• \( R_1, R_2, R_3 \) — Individual resistor values (Ω)

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

3. Importance of Parallel Resistance Calculation

Details: Calculating parallel resistance is essential for circuit design, current division analysis, and ensuring proper voltage distribution in electronic circuits.

4. Using the Calculator

Tips: Enter at least two resistor values in ohms (Ω). The third resistor is optional. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What happens if I connect resistors in parallel?
A: The total resistance decreases, and the total current capacity increases compared to any single resistor.

Q2: What is the equivalent resistance of two identical resistors in parallel?
A: It's exactly half the value of one resistor (e.g., two 100Ω resistors = 50Ω equivalent).

Q3: Why does parallel resistance decrease?
A: Each additional resistor provides another path for current, effectively increasing the total current for the same voltage.

Q4: What's the difference between series and parallel?
A: Series adds resistances directly (R₁ + R₂), while parallel reduces total resistance (1/(1/R₁ + 1/R₂)).

Q5: Can I parallel resistors with different values?
A: Yes, but the equivalent resistance will be closer to the value of the smallest resistor in the network.