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If a 60W light bulb operates at 120V, what is the resistance of the bulb?
Practice Questions
Q1
If a 60W light bulb operates at 120V, what is the resistance of the bulb?
240 ohms
120 ohms
60 ohms
30 ohms
Questions & Step-by-Step Solutions
If a 60W light bulb operates at 120V, what is the resistance of the bulb?
Steps
Concepts
Step 1: Identify the power (P) of the light bulb, which is 60 watts.
Step 2: Identify the voltage (V) at which the light bulb operates, which is 120 volts.
Step 3: Use the formula for power, which is P = V^2 / R, where R is the resistance.
Step 4: Rearrange the formula to solve for resistance (R): R = V^2 / P.
Step 5: Substitute the values into the formula: R = (120V)^2 / 60W.
Step 6: Calculate (120V)^2, which equals 14400.
Step 7: Divide 14400 by 60 to find R: R = 14400 / 60.
Step 8: Calculate the result, which is 240 ohms.
Ohm's Law and Power Formula
– Understanding the relationship between power, voltage, and resistance in electrical circuits.
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