A 110-volt hair dryer delivers 1,525 watts of power. How many amperes does it draw?

Question

A 110-volt hair dryer delivers 1,525 watts of power. How many amperes does it draw??  
A. 167,750 amperes  
B. 1,635 amperes  
C. 1,415 amperes  
D. 13.9 amperes

Accepted Answer

Correct Answer: (D)13.9 amperes. 
Rationale: The hair dryer draws 13.9 amperes of current, determined by rearranging the power equation P = IV to I = P/V = 1,525 W / 110 V ≈ 13.9 A. This calculation reflects the fundamental relationship between electrical power consumption, supply voltage, and current draw in resistive appliances.A) 167,750 amperesThis enormous value results from multiplying voltage and power (110 V × 1,525 W) rather than dividing them. Such current would vaporize any household appliance instantly. Correct calculation requires division: I = P/V = 1,525 W / 110 V ≈ 13.9 A, not multiplication.B) 1,635 amperesThis appears to add voltage and power (110 + 1,525 = 1,635), which lacks physical meaning since these quantities have different units and relationships. Current must derive from power divided by voltage per P = IV, not arithmetic addition of unrelated electrical parameters.C) 1,415 amperesThis seems to subtract voltage from power (1,525 − 110 = 1,415), another operation without physical basis in electrical theory. Subtraction cannot relate power and voltage to yield current; only division per I = P/V produces dimensionally and physically correct results.D) 13.9 amperesApplying I = P/V = 1,525 W / 110 V ≈ 13.86 A, which rounds to 13.9 A. This calculation correctly implements the power-voltage-current relationship. Typical hair dryers draw 10–15 A on 110–120 V circuits, confirming this result's physical plausibility and mathematical accuracy.ConclusionCurrent draw equals power consumption divided by supply voltage according to P = IV. A 1,525-watt hair dryer operating on 110 volts draws approximately 13.9 amperes, a value consistent with household circuit capacities and the fundamental relationship between electrical power, voltage, and current in resistive loads.

A 110-volt hair dryer delivers 1,525 watts of power. How many amperes does it draw?

A
167,750 amperes

B
1,635 amperes

C
1,415 amperes

D
13.9 amperes

The hair dryer draws 13.9 amperes of current, determined by rearranging the power equation P = IV to I = P/V = 1,525 W / 110 V ≈ 13.9 A. This calculation reflects the fundamental relationship between electrical power consumption, supply voltage, and current draw in resistive appliances.

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A 110-volt hair dryer delivers 1,525 watts of power. How many amperes does it draw?

A 167,750 amperes B 1,635 amperes C 1,415 amperes D 13.9 amperes

The hair dryer draws 13.9 amperes of current, determined by rearranging the power equation P = IV to I = P/V = 1,525 W / 110 V ≈ 13.9 A. This calculation reflects the fundamental relationship between electrical power consumption, supply voltage, and current draw in resistive appliances.

Topic Flashcards

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Related Questions

A
167,750 amperes

B
1,635 amperes

C
1,415 amperes

D
13.9 amperes