# How To Calculate The Total Power Of A Series Circuit

## How to Calculate the Total Power of a Series Circuit

In a series circuit, the current is the same throughout the circuit. This means that the total power dissipated by the circuit is equal to the sum of the power dissipated by each individual resistor. The power dissipated by a resistor is given by the equation: ``` P = I^2R ``` where: * P is the power in watts * I is the current in amps * R is the resistance in ohms To calculate the total power of a series circuit, we can simply add up the power dissipated by each resistor: ``` P_total = P_1 + P_2 + ... + P_n ``` where: * P_total is the total power in watts * P_1, P_2, ..., P_n are the powers dissipated by each resistor in watts For example, consider the following series circuit: The resistors in this circuit have resistances of 10 ohms, 20 ohms, and 30 ohms. The current flowing through the circuit is 2 amps. The power dissipated by each resistor is: * P_1 = (2 amps)^2 * 10 ohms = 40 watts * P_2 = (2 amps)^2 * 20 ohms = 80 watts * P_3 = (2 amps)^2 * 30 ohms = 120 watts The total power dissipated by the circuit is: ``` P_total = 40 watts + 80 watts + 120 watts = 240 watts ``` ## Example Problem Q: A series circuit has three resistors with resistances of 10 ohms, 20 ohms, and 30 ohms. The current flowing through the circuit is 2 amps. What is the total power dissipated by the circuit? A: The total power dissipated by the circuit is 240 watts. ## Summary To calculate the total power of a series circuit, simply add up the power dissipated by each resistor. The power dissipated by a resistor is given by the equation: ``` P = I^2R ``` where: * P is the power in watts * I is the current in amps * R is the resistance in ohms ## Additional Resources * [The Physics Classroom: Series Circuits](https://www.physicsclassroom.com/class/circuits/Lesson-3/Series-Circuits) * [Khan Academy: Series Circuits](https://www.khanacademy.org/science/physics/electricity-and-magnetism/circuits/a/series-circuits) * [SparkFun Electronics: Series Circuits](https://learn.sparkfun.com/tutorials/series-circuits)

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