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Resistance of metal wire of length 1m is 26ohm at 2celcies if diameter of wire is 0.4m what will be the resistivity of metal at this temperature?
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Resistance of metal wire of length 1m is 26ohm at 2celcies if diameter...
Calculating Resistivity of Metal Wire
Given Data:
- Length of wire (L) = 1m
- Resistance (R) = 26 ohm
- Temperature (T) = 2 °C
- Diameter of wire (d) = 0.4m
Step 1: Calculate the cross-sectional area of the wire
- Radius (r) = d/2 = 0.4m / 2 = 0.2m
- Area (A) = πr^2 = π(0.2)^2 = 0.04π m^2
Step 2: Calculate the resistivity of the metal
- Resistivity (ρ) = R * (A / L) = 26 * (0.04π / 1) = 1.04π ohm*m
Step 3: Convert temperature to Kelvins
- T(K) = T(°C) + 273 = 2 + 273 = 275K
Step 4: Apply temperature correction to resistivity
- α = 0.0039/°C (temperature coefficient of resistivity for the metal)
- ρ(T) = ρ(0) * [1 + α(T - T0)] = 1.04π * [1 + 0.0039(275 - 20)] = 1.04π * 2.09
Step 5: Calculate the final resistivity of the metal at 2°C
- ρ(T) ≈ 2.17π ohm*m
Therefore, the resistivity of the metal wire at a temperature of 2°C is approximately 2.17π ohm*m.
Community Answer
Resistance of metal wire of length 1m is 26ohm at 2celcies if diameter...
L=1m R= 26 ohm d=0.4m ,r=0.2m resistivity =? resistivity =RA÷l therefore A= 22÷7×0.2×0.2=0.88/7msquare R=26×0.88/7=3.268m =3.27m
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Resistance of metal wire of length 1m is 26ohm at 2celcies if diameter of wire is 0.4m what will be the resistivity of metal at this temperature?
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Resistance of metal wire of length 1m is 26ohm at 2celcies if diameter of wire is 0.4m what will be the resistivity of metal at this temperature? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Resistance of metal wire of length 1m is 26ohm at 2celcies if diameter of wire is 0.4m what will be the resistivity of metal at this temperature? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Resistance of metal wire of length 1m is 26ohm at 2celcies if diameter of wire is 0.4m what will be the resistivity of metal at this temperature?.
Resistance of metal wire of length 1m is 26ohm at 2celcies if diameter of wire is 0.4m what will be the resistivity of metal at this temperature? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Resistance of metal wire of length 1m is 26ohm at 2celcies if diameter of wire is 0.4m what will be the resistivity of metal at this temperature? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Resistance of metal wire of length 1m is 26ohm at 2celcies if diameter of wire is 0.4m what will be the resistivity of metal at this temperature?.
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