SUMMARY
The discussion centers on calculating the diameter of a tungsten filament with a resistance of 0.041 ohms and a length of 2.5 cm. The resistivity of tungsten is given as 5.6 × 10-8 Ω·m. The formula used is R = ρ(L/πr2), which was rearranged to find the radius. The initial calculation yielded an incorrect result of 2.0856e-4, indicating a potential error in decimal placement during the square root operation.
PREREQUISITES
- Understanding of electrical resistance and resistivity
- Familiarity with the formula R = ρ(L/πr2)
- Basic algebra for rearranging equations
- Knowledge of unit conversion (cm to m)
NEXT STEPS
- Review the derivation of the resistance formula R = ρ(L/πr2)
- Practice unit conversion between centimeters and meters
- Learn about the properties of tungsten and its applications in electronics
- Explore common mistakes in algebraic manipulations in physics problems
USEFUL FOR
Students studying physics, particularly those focusing on electrical properties and resistive materials, as well as educators looking for examples of resistance calculations.
)