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Calculate the resistance of a circular disc of radius 0.5m and thickness 3.14cm across its opposite face. The specific resistance of the material of the disc 1.5*10^-7 ohm meter.?
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Calculate the resistance of a circular disc of radius 0.5m and thickne...
R=0.6*10-8 is the answer
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Calculate the resistance of a circular disc of radius 0.5m and thickne...
Calculation of Resistance of a Circular Disc
To calculate the resistance of a circular disc, we need to consider the specific resistance of the material, along with the dimensions of the disc. Let's break down the calculation step by step:
Given Data:
- Radius of the disc (r) = 0.5 m
- Thickness of the disc (t) = 3.14 cm = 0.0314 m
- Specific resistance of the material (ρ) = 1.5 × 10^-7 ohm meter
Converting Thickness into Meters:
The given thickness of the disc is in centimeters, but we need to convert it into meters to maintain consistency in units.
1 cm = 0.01 m
Therefore, the thickness in meters (t) = 0.0314 m
Calculating the Area of the Disc:
The disc is a circular shape, and the resistance is calculated based on the area of the disc. The formula to calculate the area of a circle is:
Area (A) = π * r^2
Where π (Pi) is a mathematical constant approximately equal to 3.14159.
Substituting the given values:
A = π * (0.5 m)^2
A = 3.14159 * 0.25 m^2
A = 0.7854 m^2
Calculating the Resistance:
The resistance (R) of a material can be calculated using the formula:
R = (ρ * L) / A
Where ρ is the specific resistance of the material, L is the length of the conductor (which is equal to the thickness of the disc in this case), and A is the area of the conductor (which is equal to the area of the disc).
Substituting the given values:
R = (1.5 × 10^-7 ohm meter * 0.0314 m) / 0.7854 m^2
R = (4.71 × 10^-9 ohm) / 0.7854 m^2
R ≈ 5.99 × 10^-9 ohm
Final Answer:
The resistance of the circular disc is approximately 5.99 × 10^-9 ohm.
To calculate the resistance of a circular disc, we need to consider the specific resistance of the material, along with the dimensions of the disc. Let's break down the calculation step by step:
Given Data:
- Radius of the disc (r) = 0.5 m
- Thickness of the disc (t) = 3.14 cm = 0.0314 m
- Specific resistance of the material (ρ) = 1.5 × 10^-7 ohm meter
Converting Thickness into Meters:
The given thickness of the disc is in centimeters, but we need to convert it into meters to maintain consistency in units.
1 cm = 0.01 m
Therefore, the thickness in meters (t) = 0.0314 m
Calculating the Area of the Disc:
The disc is a circular shape, and the resistance is calculated based on the area of the disc. The formula to calculate the area of a circle is:
Area (A) = π * r^2
Where π (Pi) is a mathematical constant approximately equal to 3.14159.
Substituting the given values:
A = π * (0.5 m)^2
A = 3.14159 * 0.25 m^2
A = 0.7854 m^2
Calculating the Resistance:
The resistance (R) of a material can be calculated using the formula:
R = (ρ * L) / A
Where ρ is the specific resistance of the material, L is the length of the conductor (which is equal to the thickness of the disc in this case), and A is the area of the conductor (which is equal to the area of the disc).
Substituting the given values:
R = (1.5 × 10^-7 ohm meter * 0.0314 m) / 0.7854 m^2
R = (4.71 × 10^-9 ohm) / 0.7854 m^2
R ≈ 5.99 × 10^-9 ohm
Final Answer:
The resistance of the circular disc is approximately 5.99 × 10^-9 ohm.
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Calculate the resistance of a circular disc of radius 0.5m and thickness 3.14cm across its opposite face. The specific resistance of the material of the disc 1.5*10^-7 ohm meter.?
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Calculate the resistance of a circular disc of radius 0.5m and thickness 3.14cm across its opposite face. The specific resistance of the material of the disc 1.5*10^-7 ohm meter.? 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 Calculate the resistance of a circular disc of radius 0.5m and thickness 3.14cm across its opposite face. The specific resistance of the material of the disc 1.5*10^-7 ohm meter.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the resistance of a circular disc of radius 0.5m and thickness 3.14cm across its opposite face. The specific resistance of the material of the disc 1.5*10^-7 ohm meter.?.
Calculate the resistance of a circular disc of radius 0.5m and thickness 3.14cm across its opposite face. The specific resistance of the material of the disc 1.5*10^-7 ohm meter.? 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 Calculate the resistance of a circular disc of radius 0.5m and thickness 3.14cm across its opposite face. The specific resistance of the material of the disc 1.5*10^-7 ohm meter.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the resistance of a circular disc of radius 0.5m and thickness 3.14cm across its opposite face. The specific resistance of the material of the disc 1.5*10^-7 ohm meter.?.
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