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Zorluk: KolayElectrical Power

A 24 V24\text{ V} direct current (DC) power supply delivers a steady current of 3 A3\text{ A} to a resistive heating element. What is the total electrical power consumed by the heating element in watts (W\text{W})?

Cevap: 72 W

Cevap

The total electrical power consumed is 72 W72\text{ W}.
Electrical power in a direct current circuit is calculated using the formula P=V×IP = V \times I. Substituting the given voltage of 24 V24\text{ V} and current of 3 A3\text{ A} yields P=24×3=72 WP = 24 \times 3 = 72\text{ W}.

Adım Adım Çözüm

1
Identify the given values from the circuit problem
Voltage V=24 VV = 24\text{ V} and current I=3 AI = 3\text{ A}
Electrical power calculations require knowing at least two circuit parameters.
2
Select the appropriate electrical power formula
P=V×IP = V \times I
Watt's Law defines electrical power as the product of voltage across a component and the current flowing through it.
3
Substitute the values and calculate the final result
P=24 V×3 A=72 WP = 24\text{ V} \times 3\text{ A} = 72\text{ W}
Multiplying volts by amperes gives power directly in watts.

Anahtar Kavram

Electrical power is the rate at which electrical energy is transferred in a circuit, calculated using Watt's Law (P=V×IP = V \times I).
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