# How To Calculate Total Power Dissipated In A Parallel Circuit

## How to Calculate Total Power Dissipated in a Parallel Circuit

In a parallel circuit, the total power dissipated is equal to the sum of the power dissipated by each individual resistor. The power dissipated by a resistor is equal to the square of the current flowing through the resistor multiplied by the resistance of the resistor. The current flowing through a resistor in a parallel circuit is equal to the total current divided by the number of resistors in the parallel circuit. The total current in a parallel circuit is equal to the voltage applied to the circuit divided by the equivalent resistance of the circuit. The equivalent resistance of a parallel circuit is equal to the reciprocal of the sum of the reciprocals of the individual resistances. Therefore, the total power dissipated in a parallel circuit can be calculated using the following formula: ``` P = (V^2) / R ``` where: * P is the total power dissipated in watts * V is the voltage applied to the circuit in volts * R is the equivalent resistance of the circuit in ohms ## Example Let's say we have a parallel circuit with three resistors, each with a resistance of 10 ohms. The total resistance of the circuit is 10 / 3 = 3.33 ohms. The voltage applied to the circuit is 12 volts. The total power dissipated in the circuit is therefore: ``` P = (12^2) / 3.33 = 48 watts ``` ## Conclusion The total power dissipated in a parallel circuit can be calculated by summing the power dissipated by each individual resistor. The power dissipated by a resistor is equal to the square of the current flowing through the resistor multiplied by the resistance of the resistor. The current flowing through a resistor in a parallel circuit is equal to the total current divided by the number of resistors in the parallel circuit. The total current in a parallel circuit is equal to the voltage applied to the circuit divided by the equivalent resistance of the circuit. The equivalent resistance of a parallel circuit is equal to the reciprocal of the sum of the reciprocals of the individual resistances.

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