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A 60W bulb is connected to a 120V supply. What is the resistance of the bulb?

Practice Questions

Q1
A 60W bulb is connected to a 120V supply. What is the resistance of the bulb?
  1. 240 ohms
  2. 120 ohms
  3. 60 ohms
  4. 30 ohms

Questions & Step-by-Step Solutions

A 60W bulb is connected to a 120V supply. What is the resistance of the bulb?
Correct Answer: 240 ohms
  • Step 1: Identify the power (P) of the bulb, which is 60 watts.
  • Step 2: Identify the voltage (V) of the supply, which is 120 volts.
  • Step 3: Use the formula P = V^2 / R to find the resistance (R).
  • Step 4: Rearrange the formula to solve for 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 Relationships – Understanding the relationship between power (P), voltage (V), and resistance (R) in electrical circuits.
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