1. What is Series-Parallel Combination?

A series-parallel combination circuit combines elements of both series and parallel connections. In this specific case, R2 and R3 are in parallel with each other, and this parallel combination is in series with R1.

2. How Does the Calculator Work?

The calculator uses the series-parallel resistance formula:

Where:

• \( R1 \) — Resistance of first resistor (Ω)
• \( R2 \) — Resistance of second resistor (Ω)
• \( R3 \) — Resistance of third resistor (Ω)

Explanation: The parallel combination of R2 and R3 is calculated first, then added to the series resistance R1.

3. Importance of Equivalent Resistance

Details: Calculating equivalent resistance is fundamental in circuit analysis, allowing simplification of complex circuits and determination of total current flow.

4. Using the Calculator

Tips: Enter all resistance values in ohms (Ω). Values must be non-negative. The calculator will compute the equivalent resistance of the circuit.

5. Frequently Asked Questions (FAQ)

Q1: What happens if R2 or R3 is zero?
A: If either R2 or R3 is zero, the parallel combination becomes zero, making Req equal to R1.

Q2: Can I extend this to more resistors?
A: Yes, but the formula would change depending on the specific combination of series and parallel connections.

Q3: What are typical resistor values?
A: Resistors come in standard values from milliohms to megaohms, depending on application.

Q4: Does this work for AC circuits?
A: For AC circuits with only resistors (no capacitors/inductors), the same formula applies to resistance.

Q5: How does temperature affect the calculation?
A: The formula assumes constant resistance. In reality, resistance may change with temperature for some materials.