A direct current (DC) cooling fan in an electronics enclosure operates at a voltage of 24\… — Armed Services Vocational Aptitude Battery (ASVAB)

A direct current (DC) cooling fan in an electronics enclosure operates at a voltage of $24\text{ V}$ and draws a current of $1.5\text{ A}$ . What is the total electrical power consumed by the fan?

A
$16\text{ W}$
B
$25.5\text{ W}$
$36\text{ W}$ Answer
D
$54\text{ W}$

Answer

36\text{ W}

According to Watt's Law, electrical power in a DC circuit is determined by multiplying the voltage by the current (

P = V \times I

). Multiplying

24\text{ V}

1.5\text{ A}

results in

36\text{ W}

of power dissipation.

Step-by-Step Solution

Identify the given electrical quantities and the appropriate Watt's Law formula.

Voltage

V = 24\text{ V}

, Current

I = 1.5\text{ A}

, Formula:

P = V \times I

Electrical power in a DC circuit is directly defined as the product of electromotive force (voltage) and current.

Substitute the values into the formula and calculate the power.

P = 24\text{ V} \times 1.5\text{ A} = 36\text{ W}

Multiplying

24

1.5

gives

36

, with the standard unit of power being watts (W).

Key Concept

Watt's Law calculates electrical power (

P

) as the product of voltage (

V

) and current (

I

), expressed as

P = V \times I

Estimated Time:45s

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Answer

Step-by-Step Solution

Key Concept

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