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In a Parallel Circuit with Resistances of 8Omega and 20Omega Connected to a 12V Power Supply, What Is the Total Power Dissipated? A

Problemas

In a parallel circuit with resistances of 8Omega and 20Omega connected to a 12V power supply, what is the total power dissipated? A 25.2 W B 32.4 W c 2.10 W D 4.40 W

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Respuesta

To find the total power dissipated in a parallel circuit, we first need to calculate the total resistance in the circuit. In a parallel circuit, the total resistance is given by the formula: where and are the resistances of the two branches.Given: Substitute these values into the formula: To add these fractions, find a common denominator: So, Now, take the reciprocal to find : Next, use Ohm's Law to find the total current in the circuit: Finally, calculate the total power dissipated using the formula: Therefore, the total power dissipated in the circuit is: So, the correct answer is A) 25.2 W.