# Parallel Circuit Calculate Wattage

By | May 28, 2023

## # Parallel Circuit Calculate Wattage

In a parallel circuit, the voltage across each resistor is the same, but the current through each resistor is different. The total current in a parallel circuit is equal to the sum of the currents through each resistor. The total resistance of a parallel circuit is less than the resistance of any individual resistor. To calculate the wattage of a parallel circuit, you need to know the total current and the total voltage. The wattage of a circuit is equal to the product of the current and the voltage.

### Formula:

``` W = I * V ``` where: *

### W

is the wattage in watts *

### I

is the current in amps *

### V

is the voltage in volts

### Example:

A parallel circuit has two resistors, one with a resistance of 2 ohms and one with a resistance of 4 ohms. The circuit is connected to a voltage source of 12 volts. The total resistance of the circuit is: ``` R = 1 / (1 / R1 + 1 / R2) ``` ``` R = 1 / (1 / 2 + 1 / 4) ``` ``` R = 1 / (1 / 2 + 2 / 4) ``` ``` R = 1 / (3 / 4) ``` ``` R = 4 / 3 ohms ``` The total current in the circuit is: ``` I = V / R ``` ``` I = 12 volts / 4 / 3 ohms ``` ``` I = 9 amps ``` The wattage of the circuit is: ``` W = I * V ``` ``` W = 9 amps * 12 volts ``` ``` W = 108 watts ```

### Conclusion:

The wattage of a parallel circuit is equal to the product of the current and the voltage. The total resistance of a parallel circuit is less than the resistance of any individual resistor.

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