To find the total resistance in a series circuit, __________.

In a series circuit, the total resistance is found by adding the individual resistances together. This is because, in a series configuration, the current that flows through one resistor also flows through all the other resistors. As a result, the total resistance in the circuit is simply the sum of all the individual resistances, which increases the overall opposition to current flow.

Mathematically, if you have multiple resistors, R1, R2, R3, etc., the total resistance (R_total) can be calculated using the formula:

R_total = R1 + R2 + R3 + ...

This principle is essential in circuits since it helps determine the current flow according to Ohm's law, where the total current is inversely proportional to the total resistance in the circuit. Understanding how to calculate total resistance is fundamental in electrical maintenance and troubleshooting, as it aids in predicting how changes in the circuit will affect overall performance.