What is the formula for power in a series circuit?

The formula for power in a series circuit is represented by the summation of power across individual loads. In a series circuit, the current remains constant through all components, while the voltage may vary across each component. Therefore, the total power consumed in the circuit is the sum of the power consumed by each individual load. This is represented mathematically as the total power (P_t) equal to the sum of the power of each load, (P₁, P₂, P₃,) and (P₄).

This approach is essential when analyzing more complex series circuits where multiple devices or resistive loads are connected. Being aware of how power adds up in this manner is crucial for ensuring that circuits operate within safe limits and function as designed.

The other options, while they apply to different contexts or calculations, do not reflect the specific nature of power calculation in a series circuit. The first option relates to power in general without accounting for the series configuration, the third option mistakenly implies an inverse relationship for power, and the fourth option describes power over time unrelated to series circuitry. Understanding the correct formula for power in series circuits enables linemen and electrical professionals to effectively work with and troubleshoot electrical systems.