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Multiple Choice
A hair dryer operates at 120 V (the voltage produced by a household outlet), and outputs 1200 W of energy. For this problem, treat the hair dryer as a single resistor. (a) At what current does the hair dryer operate? (b) What is the resistance of the hair dryer?
A
(a) i=0.1 A; (b) R=8.3×10−5 Ω
B
(a) i=10 A; (b) R=0.083 Ω
C
(a) i=10 A; (b) R=12 Ω
D
(a) i=0.1 A; (b) R=120,000 Ω
Verified step by step guidance
1
Step 1: Understand the given values. The hair dryer operates at a voltage (V) of 120 V and outputs power (P) of 1200 W.
Step 2: Use the formula for electrical power, P = V * I, where P is power, V is voltage, and I is current. Rearrange this formula to solve for the current, I = P / V.
Step 3: Substitute the given values into the formula to find the current: I = 1200 W / 120 V.
Step 4: To find the resistance, use Ohm's Law, V = I * R, where R is resistance. Rearrange this formula to solve for resistance, R = V / I.
Step 5: Substitute the values of V and the calculated I into the formula to find the resistance: R = 120 V / (calculated current).