A 24\text{ V} direct current (DC) power supply delivers a steady current of 3\text{ A} to … — Armed Services Vocational Aptitude Battery (ASVAB)

A $24\text{ V}$ direct current (DC) power supply delivers a steady current of $3\text{ A}$ to a resistive heating element. What is the total electrical power consumed by the heating element in watts ( $\text{W}$ )?

Answer: 72 W

Answer

The total electrical power consumed is

72\text{ W}

Electrical power in a direct current circuit is calculated using the formula

P = V \times I

. Substituting the given voltage of

24\text{ V}

and current of

3\text{ A}

yields

P = 24 \times 3 = 72\text{ W}

Step-by-Step Solution

Identify the given values from the circuit problem

Voltage

V = 24\text{ V}

and current

I = 3\text{ A}

Electrical power calculations require knowing at least two circuit parameters.

Select the appropriate electrical power formula

P = V \times I

Watt's Law defines electrical power as the product of voltage across a component and the current flowing through it.

Substitute the values and calculate the final result

P = 24\text{ V} \times 3\text{ A} = 72\text{ W}

Multiplying volts by amperes gives power directly in watts.

Key Concept

Electrical power is the rate at which electrical energy is transferred in a circuit, calculated using Watt's Law (

P = V \times I

Estimated Time:45s

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