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Find the resistance whose length is 1 km , diameter is 0.5 mm and resistivity is 1.7*10↑-8?
Most Upvoted Answer
Find the resistance whose length is 1 km , diameter is 0.5 mm and resi...
Length=1 km=1000m
Radius=0.25 mm=0.25*10⁻³ m
Resistivity =1.72x10⁻⁸
Resistance=(Resistivity * Length)/(Area)
=(Resistivity * Length)/(πr²)
Resistance=[1.72*10⁻⁸*1000]/[22/7*(0.25*10⁻³)²
Resistance=22 ohm
Radius=0.25 mm=0.25*10⁻³ m
Resistivity =1.72x10⁻⁸
Resistance=(Resistivity * Length)/(Area)
=(Resistivity * Length)/(πr²)
Resistance=[1.72*10⁻⁸*1000]/[22/7*(0.25*10⁻³)²
Resistance=22 ohm
Community Answer
Find the resistance whose length is 1 km , diameter is 0.5 mm and resi...
Understanding Resistance Calculation
To find the resistance of a conductor, we can use the formula:
R = ρ * (L/A)
where:
- R is the resistance in ohms (Ω)
- ρ (rho) is the resistivity of the material in ohm-meters (Ω·m)
- L is the length of the conductor in meters (m)
- A is the cross-sectional area in square meters (m²)
Given Values
- Length (L) = 1 km = 1000 m
- Diameter (d) = 0.5 mm = 0.0005 m
- Resistivity (ρ) = 1.7 × 10^-8 Ω·m
Calculating the Cross-Sectional Area (A)
- The formula for the area of a circle is: A = π * (r²)
- First, find the radius: r = d/2 = 0.0005 m / 2 = 0.00025 m
- Now, calculate A:
A = π * (0.00025 m)²
A ≈ 1.9635 × 10^-7 m²
Calculating the Resistance (R)
- Substitute the values into the resistance formula:
R = 1.7 × 10^-8 Ω·m * (1000 m / (1.9635 × 10^-7 m²))
R ≈ 86.5 Ω
Final Result
- The resistance of the conductor is approximately 86.5 ohms (Ω).
This calculation helps understand how the physical dimensions and material properties influence the resistance of electrical conductors.
To find the resistance of a conductor, we can use the formula:
R = ρ * (L/A)
where:
- R is the resistance in ohms (Ω)
- ρ (rho) is the resistivity of the material in ohm-meters (Ω·m)
- L is the length of the conductor in meters (m)
- A is the cross-sectional area in square meters (m²)
Given Values
- Length (L) = 1 km = 1000 m
- Diameter (d) = 0.5 mm = 0.0005 m
- Resistivity (ρ) = 1.7 × 10^-8 Ω·m
Calculating the Cross-Sectional Area (A)
- The formula for the area of a circle is: A = π * (r²)
- First, find the radius: r = d/2 = 0.0005 m / 2 = 0.00025 m
- Now, calculate A:
A = π * (0.00025 m)²
A ≈ 1.9635 × 10^-7 m²
Calculating the Resistance (R)
- Substitute the values into the resistance formula:
R = 1.7 × 10^-8 Ω·m * (1000 m / (1.9635 × 10^-7 m²))
R ≈ 86.5 Ω
Final Result
- The resistance of the conductor is approximately 86.5 ohms (Ω).
This calculation helps understand how the physical dimensions and material properties influence the resistance of electrical conductors.
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Find the resistance whose length is 1 km , diameter is 0.5 mm and resistivity is 1.7*10↑-8?
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Find the resistance whose length is 1 km , diameter is 0.5 mm and resistivity is 1.7*10↑-8? 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 Find the resistance whose length is 1 km , diameter is 0.5 mm and resistivity is 1.7*10↑-8? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the resistance whose length is 1 km , diameter is 0.5 mm and resistivity is 1.7*10↑-8?.
Find the resistance whose length is 1 km , diameter is 0.5 mm and resistivity is 1.7*10↑-8? 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 Find the resistance whose length is 1 km , diameter is 0.5 mm and resistivity is 1.7*10↑-8? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the resistance whose length is 1 km , diameter is 0.5 mm and resistivity is 1.7*10↑-8?.
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