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The dimension of the temperature coefficient of resistivity is
- a)(temperature.ohm)-1
- b)same as temperature.ohm
- c)same as (temperature)-1
- d)same as (temperature)2
Correct answer is option 'C'. Can you explain this answer?
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The dimension of the temperature coefficient of resistivity isa...
Temperature Coefficient of Resistivity
The temperature coefficient of resistivity is defined as the change in the electrical resistance of a material per unit change in temperature. It is denoted by the symbol α and has units of inverse temperature (K^-1) or reciprocal temperature (1/T).
Effect of Temperature on Electrical Resistance
When the temperature of a conductor increases, its electrical resistance also increases. This is due to the fact that as the temperature increases, the atoms in the conductor vibrate more vigorously, which results in more collisions between the electrons and the atoms. This increase in collisions leads to an increase in the resistance of the conductor.
Formula for Temperature Coefficient of Resistivity
The temperature coefficient of resistivity is given by the formula:
α = (1/ρ) x (dρ/dT)
where ρ is the resistivity of the material and dρ/dT is the rate of change of the resistivity with temperature.
Dimension of Temperature Coefficient of Resistivity
The dimension of the temperature coefficient of resistivity is the same as that of reciprocal temperature or (temperature)^-1. This can be seen from the formula for the temperature coefficient of resistivity:
α = (1/ρ) x (dρ/dT)
where ρ has units of ohm-meters (Ω.m) and dρ/dT has units of ohm-meters per Kelvin (Ω.m/K). Thus, the units of α are K^-1 or 1/T.
Conclusion
In conclusion, the temperature coefficient of resistivity is a measure of how the electrical resistance of a material changes with temperature. It has units of inverse temperature or reciprocal temperature, and its dimension is the same as that of (temperature)^-1.
The temperature coefficient of resistivity is defined as the change in the electrical resistance of a material per unit change in temperature. It is denoted by the symbol α and has units of inverse temperature (K^-1) or reciprocal temperature (1/T).
Effect of Temperature on Electrical Resistance
When the temperature of a conductor increases, its electrical resistance also increases. This is due to the fact that as the temperature increases, the atoms in the conductor vibrate more vigorously, which results in more collisions between the electrons and the atoms. This increase in collisions leads to an increase in the resistance of the conductor.
Formula for Temperature Coefficient of Resistivity
The temperature coefficient of resistivity is given by the formula:
α = (1/ρ) x (dρ/dT)
where ρ is the resistivity of the material and dρ/dT is the rate of change of the resistivity with temperature.
Dimension of Temperature Coefficient of Resistivity
The dimension of the temperature coefficient of resistivity is the same as that of reciprocal temperature or (temperature)^-1. This can be seen from the formula for the temperature coefficient of resistivity:
α = (1/ρ) x (dρ/dT)
where ρ has units of ohm-meters (Ω.m) and dρ/dT has units of ohm-meters per Kelvin (Ω.m/K). Thus, the units of α are K^-1 or 1/T.
Conclusion
In conclusion, the temperature coefficient of resistivity is a measure of how the electrical resistance of a material changes with temperature. It has units of inverse temperature or reciprocal temperature, and its dimension is the same as that of (temperature)^-1.
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Community Answer
The dimension of the temperature coefficient of resistivity isa...
The resistance of a material at temperature T is given by
R=R0[1+α(T−T0)]
Where R0= resistance at reference temperature T0=0oC and α is the temperature coefficient of resistance.
From the above equation, the unit of the temperature coefficient is per degree Celsius (/oC). So, dimension will be [C−1]
R=R0[1+α(T−T0)]
Where R0= resistance at reference temperature T0=0oC and α is the temperature coefficient of resistance.
From the above equation, the unit of the temperature coefficient is per degree Celsius (/oC). So, dimension will be [C−1]
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The dimension of the temperature coefficient of resistivity isa)(temperature.ohm)-1b)same as temperature.ohmc)same as (temperature)-1d)same as (temperature)2Correct answer is option 'C'. Can you explain this answer?
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