SUMMARY
The dimensions of electric resistance, measured in ohms, can be derived from Ohm's Law, expressed as V = I R, where V is voltage, I is current, and R is resistance. The correct dimensional formula for resistance is derived as R = V/I, which translates to R = W/Qi, leading to the final expression of dimensions as ML²T⁻³I⁻². This derivation is essential for understanding the relationship between resistance and the properties of conductors, particularly for students preparing for competitive exams.
PREREQUISITES
- Understanding of Ohm's Law
- Familiarity with SI units and derived units
- Basic knowledge of voltage and current
- Concept of electrical resistance
NEXT STEPS
- Study the derivation of SI units for voltage and current
- Explore the relationship between resistance and conductor properties
- Learn about the practical applications of Ohm's Law in circuits
- Investigate the significance of dimensional analysis in physics
USEFUL FOR
Students preparing for competitive exams, educators teaching physics concepts, and anyone interested in the fundamentals of electrical resistance and its applications.
