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Verify that the units of a volt-ampere are watts, as implied by the equation P=IV.

a) True
b) False

User Jaanus
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1 Answer

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Final answer:

Volt-amperes indeed are watts, as confirmed by the equation P = IV, which defines electric power with the units of watts resulting from an ampere multiplied by a volt.

Step-by-step explanation:

To verify that the units of a volt-ampere are equivalent to watts, we look at the definition of electrical power (P), expressed by the equation P = IV, where P is the power in watts (W), I is the current in amperes (A), and V is the potential difference in volts (V). By analyzing the units, we can see that multiplying an ampere (A) by a volt (V) results in watts (W), since 1 A × V = 1 W. Therefore, the statement that the units of a volt-ampere are equal to watts is true.

Additionally, this equation implies that a circuit consuming power will have a voltage drop (V) across it and a current (I) flowing through it. For instance, if a circuit has a 6.00 A current flowing through it and a 3.00 V voltage drop, the total power consumed can be calculated by P = IV, which in this example equals 18.00 W.

User Kim Schroeder
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