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Define resistivity. If resistivity of Cu is 1.67 x 10-8 Ωm, what does it signify?
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Define resistivity. If resistivity of Cu is 1.67 x 10-8 Ωm, what does ...
The electrical resistivity of copper is 1.68*10^-8 ohm*m. What is the conductance of a copper wire that is 10 m long and has a cross section 20 mm^2.
The conductance of a resistor is the inverse of its resistance and is expressed in the units Siemens where x Siemen is equivalent to (1/x) ohm.
In the problem the conductor is a copper wire that is 10 m long and it has a constant cross-sectional area of 20 mm^2.
The conductance C = (A/l)*(1/r), where A is the cross sectional area, l is the length and r is the resistivity. First convert all the values in terms of SI units. Length l = 10 m, area of cross section A = 20 mm^2 = 20*10^-6 m^2 and the resistivity is 1.68*10^-8 ohm*m
C = 20*10^-6/(10*1.68*10^-8)
=> (200/1.68) S
=> 119.04 S
The required conductance of the copper wire is 119.04 S.
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Define resistivity. If resistivity of Cu is 1.67 x 10-8 Ωm, what does ...
Definition of Resistivity
Resistivity is a fundamental property of materials that quantifies how strongly a material opposes the flow of electric current. It is defined as the resistance of a material with a uniform cross-section and a unit length. The unit of resistivity is ohm-meter (Ωm), and it is a crucial parameter in determining how efficiently a material conducts electricity.
Significance of Copper's Resistivity
The resistivity of copper (Cu) is measured at 1.67 x 10^-8 Ωm, which has several implications:
  • Excellent Conductor: The low resistivity value indicates that copper is one of the best electrical conductors available. This makes it ideal for electrical wiring and components.
  • Material Selection: Engineers and designers choose copper for applications requiring efficient electrical conduction, such as power lines, circuit boards, and electronic devices.
  • Temperature Dependence: Resistivity can change with temperature. For copper, resistivity typically increases with rising temperature, which is essential to consider in applications subjected to temperature variations.
  • Comparison with Other Materials: Copper’s resistivity allows for comparison with other conductive materials. For example, it has lower resistivity than aluminum, making it preferable in many electrical applications.
  • Impact on Performance: The resistivity influences the voltage drop across a conductor and affects the overall efficiency of electrical systems. Lower resistivity means less energy loss in the form of heat.


In summary, the resistivity of copper signifies its efficiency as a conductor, guiding its use in various electrical applications and impacting the performance of electrical systems.
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Define resistivity. If resistivity of Cu is 1.67 x 10-8 Ωm, what does it signify?
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