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

Question

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

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Khang Minh 3 years 2021-08-18T00:40:32+00:00 1 Answers 4 views 0

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  1. diemthu
    0
    2021-08-18T00:42:14+00:00
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    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

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