How Do You Calculate the Filament Area Ratio Between Main and Car Head Lamps?

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SUMMARY

The discussion focuses on calculating the filament area ratio between a mains lamp and a car headlamp, both made of the same material and length. The mains lamp operates at 230V and 100W, while the car headlamp operates at 12V and 36W. Using the formula for power, W = I²R, participants analyze the differences in current between the two lamps to derive the cross-sectional area ratio of their filaments. The conclusion emphasizes that the lower voltage of the car headlamp results in a higher current, affecting the filament area ratio.

PREREQUISITES
  • Understanding of electrical power calculations (W = I²R)
  • Knowledge of voltage and current relationships in electrical circuits
  • Familiarity with cross-sectional area concepts in physics
  • Basic principles of material properties related to electrical conductivity
NEXT STEPS
  • Research the relationship between voltage, current, and resistance in electrical circuits
  • Explore the concept of filament materials and their resistivity
  • Learn how to calculate cross-sectional areas for different shapes
  • Investigate the implications of filament design on lamp efficiency and performance
USEFUL FOR

Electrical engineers, physics students, and anyone interested in the principles of electrical circuits and lamp design will benefit from this discussion.

marco123
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hi all i have a question to do but i can't seem to get my head round it and i was hoping some of you might be able to explain it better so here it is:
"the coiled filaments in a main lamp and a car head lamp are made of the same material and have the same length. Use the info. below to calculate the ratio:
cross sectional area of the mains lamp filament/cross sectional area of the headlamp filament

Mains lamp: 230V; 100W Car headlamp;12V; 36W

Many thanks
Marco
 
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marco123 said:
hi all i have a question to do but i can't seem to get my head round it and i was hoping some of you might be able to explain it better so here it is:
"the coiled filaments in a main lamp and a car head lamp are made of the same material and have the same length. Use the info. below to calculate the ratio:
cross sectional area of the mains lamp filament/cross sectional area of the headlamp filament

Mains lamp: 230V; 100W Car headlamp;12V; 36W

Many thanks
Marco

Your power is W = I2R

What do you suppose are the differences in current between the 2?
 

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