Parallel Resistance Calculator

How to Use the Parallel Resistance Calculator

This step-by-step guide will help you use the Parallel Resistance Calculator to determine the total resistance and conductance of resistors connected in parallel. The calculator accepts up to three resistors, with the third input being optional.

Step 1: Input Resistor Values

• Resistor 1 (Ω): Enter the resistance value of the first resistor in ohms. This is a required field, and the input must be a positive number greater than or equal to 0.001. Use this field to start your calculation.

• Resistor 2 (Ω): Enter the resistance value of the second resistor in ohms. Like Resistor 1, this is also a required field with the same input constraints. Ensure you enter a valid positive number to proceed.

• Resistor 3 (Ω) (Optional): If you have a third resistor, you can enter its resistance value in this optional field. The input should be a positive number greater than or equal to 0.001. If you do not have a third resistor, you can leave this field blank, and the calculator will still perform the calculation with the first two resistors.

Step 2: Review Calculation Logic

The calculator uses the following mathematical formulas to compute the total equivalent resistance and conductance of the parallel resistor network:

• Total Parallel Resistance: Calculated using the formula: 1 / (1/resistor1 + 1/resistor2 + (resistor3 ? 1/resistor3 : 0)). This will give you the total resistance in ohms (Ω).
• Total Conductance: Calculated as: (1/resistor1 + 1/resistor2 + (resistor3 ? 1/resistor3 : 0)). This will provide the total conductance in siemens (S).

Step 3: View Result

Once you have entered the resistance values in the respective fields, the calculator will automatically compute the following:

• Total Parallel Resistance: The result will be displayed to three decimal places with a suffix of “Ω”, giving you an accurate measurement of the total resistance.

• Total Conductance: The calculator will also show the total conductance to six decimal places, expressed in siemens with a “S” suffix, offering insight into how easily current flows through the circuit.

By following these steps, you can efficiently use the Parallel Resistance Calculator to analyze and understand the total resistance and conductance in your electronic circuits.