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## a 12v battery delivers a 3.6 a current to an electric motor. How much power was delivered to the current?

Question

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## Answers ( )

Answer:

P = 43.2 W

Explanation:

Known:

Voltage = 12 v = 12 kgm^2s^-3A^-

Current = 3.6 A

Unknown:

Power =?

Strategy:

We need an equation the relates voltage, power, and current. According to Watt’s Law, the power in a circuit is a product of voltage and current.

This defines the relationship between power, voltage, and current.

The mathematical expression of watt’s law is P = IV where p is the power delivered or generated by a given source, I is current, and V is the voltage.

Solution:

P = 3.6 A * (12 kgm^2s^-3A^-1)

P = (43.2 kgm^2s^-3A)/A [ I have moved the A^-1 into the denominator as A so that we can see that we have the same term in the numerator and denominator.

P = 43.2 kgm^2s^-3

P = 43.2 W