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Zorluk: KolayElectrical Power and Watt's Law

A direct current (DC) cooling fan in an electronics enclosure operates at a voltage of 24 V24\text{ V} and draws a current of 1.5 A1.5\text{ A}. What is the total electrical power consumed by the fan?

  1. A
    16 W16\text{ W}
  2. B
    25.5 W25.5\text{ W}
  3. 36 W36\text{ W}Cevap
  4. D
    54 W54\text{ W}

Cevap

36 W36\text{ W}
According to Watt's Law, electrical power in a DC circuit is determined by multiplying the voltage by the current (P=V×IP = V \times I). Multiplying 24 V24\text{ V} by 1.5 A1.5\text{ A} results in 36 W36\text{ W} of power dissipation.

Adım Adım Çözüm

1
Identify the given electrical quantities and the appropriate Watt's Law formula.
Voltage V=24 VV = 24\text{ V}, Current I=1.5 AI = 1.5\text{ A}, Formula: P=V×IP = V \times I
Electrical power in a DC circuit is directly defined as the product of electromotive force (voltage) and current.
2
Substitute the values into the formula and calculate the power.
P=24 V×1.5 A=36 WP = 24\text{ V} \times 1.5\text{ A} = 36\text{ W}
Multiplying 2424 by 1.51.5 gives 3636, with the standard unit of power being watts (W).

Anahtar Kavram

Watt's Law calculates electrical power (PP) as the product of voltage (VV) and current (II), expressed as P=V×IP = V \times I.
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