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
Roztwór
Arturo
élite · Tutor durante 8 años
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(214 Votos)
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.