Join 60,000+ competitive exam aspirants
What is the unit of measure for electrical resistivity?
Ohm
Ohm-meter
Siemens
Volt/ampere
Ohm-meter
Electrical resistivity (╧Б) is a fundamental property of a material that quantifies how strongly it opposes the flow of electric current. Its SI unit is the ohm-meter (╬йтЛЕm), which is derived from the relationship between resistance, length, and cross-sectional area of a conductor.
Electrical resistivity (╧Б) is a fundamental property of a material that quantifies how strongly it opposes the flow of electric current. Its SI unit is the ohm-meter (╬йтЛЕm), which is derived from the relationship between resistance, length, and cross-sectional area of a conductor.
If resistance is like the difficulty of walking through a crowded tunnel, resistivity is the inherent 'stickiness' or 'narrowness' of the material the tunnel is made of, independent of how long or wide that specific tunnel is.
Resistivity is the 'Ohm-Meter' (Oh-My-Meter): 'Ohm' for the resistance and 'Meter' for the length normalization.
R=╧БAlтАЛ тАФ Ohm's Law for resistance based on geometry
╧Б=lRAтАЛ тАФ Formula for calculating resistivity
The resistance (R) of a conductor is directly proportional to its length (l) and inversely proportional to its cross-sectional area (A), expressed as R=╧БAlтАЛ. By rearranging this formula to solve for resistivity, we get ╧Б=RlAтАЛ. Substituting units, we have ╬йтЛЕmm2тАЛ, which simplifies to ╬йтЛЕm.
Resistivity is an intrinsic property, meaning it does not depend on the dimensions of the sample.
It depends primarily on the material type and the temperature of the conductor.
Good conductors like copper have low resistivity, while insulators like rubber have extremely high resistivity.
Used to identify materials based on their conductive properties.
Resistivity values change significantly with temperature, requiring temperature correction in precise experiments.
Selection of materials for heating elements like Nichrome.
Designing insulation for high-voltage power lines.
Ohm is the unit of resistance; Siemens is the unit of conductance; Volt/ampere is equivalent to Ohm.
Option A is the unit for resistance; Option C is the unit for conductance; Option D is an alternative expression for Ohm.
B is correct тАФ The SI unit of electrical resistivity is the ohm-meter (╬йтЛЕm), derived from the physical dimensions of a conductor.
Always remember that resistance is dependent on geometry, but resistivity is an inherent material constant; this is a favorite trap in competitive physics questions.