Home
Back
Series-Parallel Resistance Formula:
| From: | To: |
The equivalent resistance of a series-parallel circuit combines resistors in series (summed directly) and parallel (sum of reciprocals). This calculator helps determine the total resistance of complex circuits.
The calculator uses fundamental resistance formulas:
For series: \[ R_{eq} = R_1 + R_2 + \cdots + R_n \]
For parallel: \[ \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \cdots + \frac{1}{R_n} \]
Where:
Explanation: The calculator first processes series connections by direct addition, then parallel connections by reciprocal sum.
Details: Calculating equivalent resistance is essential for circuit analysis, determining current flow, voltage drops, and power dissipation in electronic circuits.
Tips: Enter resistor values separated by commas, select configuration (series, parallel, or custom). For custom configurations, specify the sequence like "s,p,p" for series then parallel then parallel.
Q1: What's the difference between series and parallel?
A: In series, current flows through each resistor sequentially. In parallel, current divides among multiple paths.
Q2: How do I calculate power dissipation?
A: Once you have equivalent resistance, use \( P = V^2/R \) or \( P = I^2R \) depending on known values.
Q3: What if I have mixed series and parallel?
A: Use the custom configuration option to specify the sequence of connections.
Q4: Does order of resistors matter in series?
A: No, series resistors can be in any order as long as they're connected end-to-end.
Q5: What about capacitors or inductors?
A: This calculator is for resistors only. Capacitors and inductors follow different rules for series/parallel combinations.