Why Is the Calculated Power for the Lightbulbs Incorrect?

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SUMMARY

The discussion focuses on calculating the total power delivered to three 70.0 W, 120 V lightbulbs connected to a 120 V power source. The user initially miscalculated the equivalent resistance (Req) and the resulting power, arriving at 31.1 watts instead of the expected value. The correct approach involves using the formula for power, P = V^2/R, to determine the resistance of each bulb and then calculating the equivalent resistance for the parallel configuration of the bulbs. Accurate calculations reveal that the power delivered to the bulbs is significantly higher than the user's initial estimate.

PREREQUISITES
  • Understanding of electrical power calculations using P = V^2/R
  • Knowledge of series and parallel resistor configurations
  • Familiarity with basic circuit theory and Ohm's Law
  • Ability to manipulate algebraic equations for resistance and power
NEXT STEPS
  • Learn how to calculate equivalent resistance in parallel circuits
  • Study the effects of varying resistance on power consumption in electrical devices
  • Explore advanced power calculation techniques for complex circuits
  • Investigate the impact of temperature on resistance in lightbulbs
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Students studying electrical engineering, physics enthusiasts, and anyone involved in circuit design or analysis will benefit from this discussion.

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Homework Statement



Three 70.0 W, 120 V lightbulbs are connected across a V = 120 V power
source, as shown in Figure P18.48. (Assume that the resistance of each bulb is constant even though, in reality, the resistance increases markedly with current.)

http://i57.photobucket.com/albums/g2...er/physics.gif
Figure P18.48
(a) Find the total power delivered to the three bulbs.
wrong check mark
Your answer differs from the correct answer by 10% to 100%. W
(b) Find the potential difference across each light bulb.
VR1 = correct check mark V
VR2 = correct check mark V
VR3 = correct check mark

Homework Equations


p=v^2/r

The Attempt at a Solution


I found the potential differences they were 80 and 40.12, 40.12 respectively. However I cannot find the power

I have Req as being 462.9 so then i use power = 120^2/462.9 and i get 31.1 watts?!?
I have no idea why this isn't working please give me a clue
 
Last edited by a moderator:
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Your Req is wrong. For a single bulb we get p = V^2/R, so R = V^2/70. Then compute Req. R_2 and R_3 are parellel, so replace them with their equivalent resitance etc.
 

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