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Gina examines the equations for electric power and Ohm's law. She thinks that there is a third equation that can calculate power using only voltage and resistance. Which statement best evaluates Gina’s idea?

It is correct, because I = . It is correct, because I = .

It is incorrect, because both equations for power use current.

It is incorrect, because Ohm’s law does not include I2.

Respuesta :

There are some missing details in the options given, but we can solve the problem anyway.

In fact, the formula for the electric power is
[tex]P=I^2 R[/tex]
where I is the current and R the resistance, while Ohm's law states that
[tex]I= \frac{V}{R} [/tex]
where V is the voltage. So, if we replace the current I in the first equation by using Ohm's law, we can write the power using only voltage V and resistance R:
[tex]P= (\frac{V}{R})^2 R= \frac{V^2}{R} [/tex]

The correct answer is the first one.

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