# How To Calculate The Total Power Of A Parallel Circuit

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

In a parallel circuit, the total power is equal to the sum of the powers of the individual resistors. This is because the current is the same through all of the resistors in a parallel circuit, so the total power is simply the product of the current and the voltage. The formula for calculating the total power in a parallel circuit is: ``` Ptotal = P1 + P2 + P3 + ... + Pn ``` where: * Ptotal is the total power in the circuit, in watts * P1, P2, P3, ..., Pn are the powers of the individual resistors, in watts To calculate the power of an individual resistor in a parallel circuit, you can use the following formula: ``` P = I^2R ``` where: * P is the power in watts * I is the current in amps * R is the resistance in ohms Once you know the power of each resistor, you can add them together to find the total power in the circuit. ### Example Let's say you have a parallel circuit with three resistors: R1 = 10 ohms, R2 = 20 ohms, and R3 = 30 ohms. The current through the circuit is 1 amp. To find the total power in the circuit, we first need to find the power of each resistor. ``` P1 = I^2R1 = (1)^2(10) = 10 watts P2 = I^2R2 = (1)^2(20) = 20 watts P3 = I^2R3 = (1)^2(30) = 30 watts ``` Now we can add the powers of the individual resistors to find the total power in the circuit: ``` Ptotal = P1 + P2 + P3 = 10 + 20 + 30 = 60 watts ``` So, the total power in the circuit is 60 watts. ### Conclusion In a parallel circuit, the total power is equal to the sum of the powers of the individual resistors. This is because the current is the same through all of the resistors in a parallel circuit, so the total power is simply the product of the current and the voltage. To calculate the power of an individual resistor in a parallel circuit, you can use the formula: ``` P = I^2R ``` where: * P is the power in watts * I is the current in amps * R is the resistance in ohms Once you know the power of each resistor, you can add them together to find the total power in the circuit.

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