SUMMARY
The diameter of a 19-cm-long nichrome wire connected to a 1.8 V battery with a current of 2.1 A is calculated to be approximately 0.265 mm. The resistance (R) of the wire is determined to be 0.86 Ohms using the formula R = ρL/A, where ρ (resistivity) for nichrome is 100 x 10^-8 Ω·m. The cross-sectional area (A) is derived from the resistance and subsequently used to find the radius (r), which is then converted to diameter.
PREREQUISITES
- Understanding of electrical resistance and Ohm's Law (V = IR)
- Familiarity with the concept of resistivity (ρ) and its units
- Knowledge of geometric formulas for area and diameter of a circle
- Basic algebra for manipulating equations
NEXT STEPS
- Study the properties of nichrome wire and its applications in electrical circuits
- Learn about the relationship between resistivity, length, and cross-sectional area in conductors
- Explore advanced calculations involving series and parallel resistances
- Investigate the effects of temperature on the resistivity of materials
USEFUL FOR
Students in physics or electrical engineering, educators teaching circuit analysis, and anyone involved in practical applications of electrical resistance in materials.