Resistors in Parallel Calculator

Parallel Resistance Formula:

\[ \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \dots + \frac{1}{R_n} \]

Resistor 1 (R₁):

Resistor 2 (R₂):

Resistor 3 (R₃):

Resistor 4 (R₄):

Total Resistance (R_total):

Definition: This calculator determines the total resistance of resistors connected in parallel in an electrical circuit.

Purpose: It helps engineers, technicians, and hobbyists calculate equivalent resistance for parallel circuits.

The calculator uses the parallel resistance formula:

\[ \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \dots + \frac{1}{R_n} \]

Where:

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

Details: Proper calculation ensures correct current flow, voltage division, and power distribution in electronic circuits.

Tips: Enter at least two resistor values (Ω). You can calculate with up to four resistors. All values must be > 0.

Q1: Why does parallel resistance decrease?
A: Adding parallel paths gives current more ways to flow, effectively reducing total resistance.

Q2: What's the minimum number of resistors needed?
A: You need at least two resistors for a parallel connection.

Q3: What if all resistors are equal?
A: For N equal resistors R, total resistance is R/N.

Q4: How does parallel resistance affect current?
A: More parallel paths increase total current while decreasing total resistance.

Q5: Can I calculate for more than four resistors?
A: The principle is the same - just add more 1/R terms to the equation.