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The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ?
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The resistance of a metal wire of length 1m is 26 ohm at 20 degree Cel...
Resistivity =p 0.3mm = 1.5×10^-2= radius p = RA/L p=R×pie r^2 ( area = pie r^2) p= 26×22×2.25×10^-4/7×1 p=183.8×10^-4ohm meterif u like follow me
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The resistance of a metal wire of length 1m is 26 ohm at 20 degree Cel...
Calculating Resistivity of a Metal Wire
To calculate the resistivity of a metal wire, we need to use the formula:
R = (ρ * L) / A
Where:
R is the resistance of the wire
ρ (rho) is the resistivity of the metal
L is the length of the wire
A is the cross-sectional area of the wire
Step 1: Calculate the cross-sectional area of the wire
The diameter of the wire is given as 0.3 mm. To find the cross-sectional area, we can use the formula:
A = π * r^2
Where:
A is the cross-sectional area
π (pi) is a mathematical constant approximately equal to 3.14159
r is the radius of the wire
The radius can be calculated by dividing the diameter by 2:
r = 0.3 mm / 2 = 0.15 mm = 0.15 * 10^-3 m
Now, we can calculate the cross-sectional area:
A = π * (0.15 * 10^-3 m)^2
Step 2: Calculate the resistivity of the metal
Given that the length of the wire is 1 m and the resistance is 26 ohms, we can rearrange the formula to solve for resistivity:
ρ = (R * A) / L
Substituting the values into the formula:
ρ = (26 ohm * π * (0.15 * 10^-3 m)^2) / 1 m
Step 3: Solve the equation
Now, we can calculate the resistivity by substituting the values into the equation and solving for ρ:
ρ = (26 ohm * 3.14159 * (0.15 * 10^-3 m)^2) / 1 m
ρ = (26 ohm * 3.14159 * 0.0225 * 10^-6 m^2) / 1 m
ρ = 2.094395 * 10^-6 ohm * m
Therefore, the resistivity of the metal at that temperature is approximately 2.094395 * 10^-6 ohm * m.
To calculate the resistivity of a metal wire, we need to use the formula:
R = (ρ * L) / A
Where:
R is the resistance of the wire
ρ (rho) is the resistivity of the metal
L is the length of the wire
A is the cross-sectional area of the wire
Step 1: Calculate the cross-sectional area of the wire
The diameter of the wire is given as 0.3 mm. To find the cross-sectional area, we can use the formula:
A = π * r^2
Where:
A is the cross-sectional area
π (pi) is a mathematical constant approximately equal to 3.14159
r is the radius of the wire
The radius can be calculated by dividing the diameter by 2:
r = 0.3 mm / 2 = 0.15 mm = 0.15 * 10^-3 m
Now, we can calculate the cross-sectional area:
A = π * (0.15 * 10^-3 m)^2
Step 2: Calculate the resistivity of the metal
Given that the length of the wire is 1 m and the resistance is 26 ohms, we can rearrange the formula to solve for resistivity:
ρ = (R * A) / L
Substituting the values into the formula:
ρ = (26 ohm * π * (0.15 * 10^-3 m)^2) / 1 m
Step 3: Solve the equation
Now, we can calculate the resistivity by substituting the values into the equation and solving for ρ:
ρ = (26 ohm * 3.14159 * (0.15 * 10^-3 m)^2) / 1 m
ρ = (26 ohm * 3.14159 * 0.0225 * 10^-6 m^2) / 1 m
ρ = 2.094395 * 10^-6 ohm * m
Therefore, the resistivity of the metal at that temperature is approximately 2.094395 * 10^-6 ohm * m.
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The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ?
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The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that 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 The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ?.
The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that 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 The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ?.
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