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A 100W bulb operates at 220V. What is the resistance of the bulb? (2021)
Practice Questions
Q1
A 100W bulb operates at 220V. What is the resistance of the bulb? (2021)
484Ω
220Ω
110Ω
100Ω
Questions & Step-by-Step Solutions
A 100W bulb operates at 220V. What is the resistance of the bulb? (2021)
Steps
Concepts
Step 1: Identify the power (P) of the bulb, which is 100W.
Step 2: Identify the voltage (V) at which the bulb operates, which is 220V.
Step 3: Use the formula for power: P = V^2 / R, where R is the resistance.
Step 4: Rearrange the formula to solve for R: R = V^2 / P.
Step 5: Substitute the values into the formula: R = (220V)^2 / 100W.
Step 6: Calculate (220V)^2, which equals 48400.
Step 7: Divide 48400 by 100W to find R: R = 484Ω.
Ohm's Law and Power Formula
– Understanding the relationship between power, voltage, and resistance in electrical circuits.
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