How To Calculate Total Power In Parallel Circuit

How to Calculate Total Power in a Parallel Circuit

In a parallel circuit, the total power is equal to the sum of the powers 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 its resistance. The total current flowing through a parallel circuit can be calculated using the following formula: ``` I = \frac{V}{R_1} + \frac{V}{R_2} + \ldots + \frac{V}{R_n} ``` where: *

I

is the total current flowing through the circuit *

V

is the voltage across the circuit *

R

is the resistance of each resistor Once you know the total current, you can calculate the total power using the following formula: ``` P = I^2R ``` where: *

P

is the total power dissipated by the circuit *

I

is the total current flowing through the circuit *

R

is the total resistance of the circuit Here is an example of how to calculate the total power in a parallel circuit. Suppose you have a parallel circuit with three resistors, each with a resistance of 10 ohms. The voltage across the circuit is 12 volts. To find the total current, we use the following formula: ``` I = \frac{V}{R_1} + \frac{V}{R_2} + \ldots + \frac{V}{R_n} ``` In this case, we have: ``` I = \frac{12V}{10\Omega} + \frac{12V}{10\Omega} + \frac{12V}{10\Omega} ``` ``` I = 3A ``` To find the total power, we use the following formula: ``` P = I^2R ``` In this case, we have: ``` P = (3A)^2(10\Omega) ``` ``` P = 90W ``` Therefore, the total power dissipated by the circuit is 90 watts. ## Steps to Calculate Total Power in a Parallel Circuit To calculate the total power in a parallel circuit, follow these steps: 1. Find the total current flowing through the circuit. 2. Multiply the total current by the total resistance of the circuit to find the total power. Here is a more detailed explanation of each step:

Step 1: Find the total current flowing through the circuit.

The total current flowing through a parallel circuit can be calculated using the following formula: ``` I = \frac{V}{R_1} + \frac{V}{R_2} + \ldots + \frac{V}{R_n} ``` where: *

I

is the total current flowing through the circuit *

V

is the voltage across the circuit *

R

is the resistance of each resistor To find the total current, you need to know the voltage across the circuit and the resistance of each resistor.

Step 2: Multiply the total current by the total resistance of the circuit to find the total power.

The total power dissipated by a parallel circuit can be calculated using the following formula: ``` P = I^2R ``` where: *

P

is the total power dissipated by the circuit *

I

is the total current flowing through the circuit *

R

is the total resistance of the circuit To find the total power, you need to know the total current and the total resistance. ## Example Suppose you have a parallel circuit with three resistors, each with a resistance of 10 ohms. The voltage across the circuit is 12 volts. To find the total current, we use the following formula: ``` I = \frac{V}{R_1} + \frac{V}{R_2} + \ldots + \frac{V}{R_n} ``` In this case, we have: ``` I = \frac{12V}{10\Omega} + \frac{12V}{10\Omega} + \frac{12V}{10\Omega} ``` ``` I = 3A ``` To find the total power, we use the following formula: ``` P = I^2R ``` In this case, we have: ``` P = (3A)^2(10\


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