We appreciate your visit to Calculate the resistance of a metal wire with a length of 2 m and an area of cross section tex 1 55 times 10 6. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To calculate the resistance of a metal wire, we use the formula:
[tex]\[ R = \rho \times \frac{L}{A} \][/tex]
where:
- [tex]\( R \)[/tex] is the resistance,
- [tex]\( \rho \)[/tex] is the resistivity of the material,
- [tex]\( L \)[/tex] is the length of the wire,
- [tex]\( A \)[/tex] is the area of cross-section of the wire.
Given in the problem:
- The length [tex]\( L \)[/tex] of the wire is 2 meters.
- The area of cross-section [tex]\( A \)[/tex] is [tex]\( 1.55 \times 10^{-6} \, \text{m}^2 \)[/tex].
- The resistivity [tex]\( \rho \)[/tex] of the metal is [tex]\( 2.8 \times 10^{-8} \, \Omega \cdot \text{m} \)[/tex].
Let's substitute these values into the formula:
[tex]\[ R = 2.8 \times 10^{-8} \, \Omega \cdot \text{m} \times \frac{2 \, \text{m}}{1.55 \times 10^{-6} \, \text{m}^2} \][/tex]
After calculating the above expression, the resistance [tex]\( R \)[/tex] is approximately:
[tex]\[ R = 0.0361 \, \Omega \][/tex]
So, the resistance of the metal wire is approximately 0.0361 ohms.
[tex]\[ R = \rho \times \frac{L}{A} \][/tex]
where:
- [tex]\( R \)[/tex] is the resistance,
- [tex]\( \rho \)[/tex] is the resistivity of the material,
- [tex]\( L \)[/tex] is the length of the wire,
- [tex]\( A \)[/tex] is the area of cross-section of the wire.
Given in the problem:
- The length [tex]\( L \)[/tex] of the wire is 2 meters.
- The area of cross-section [tex]\( A \)[/tex] is [tex]\( 1.55 \times 10^{-6} \, \text{m}^2 \)[/tex].
- The resistivity [tex]\( \rho \)[/tex] of the metal is [tex]\( 2.8 \times 10^{-8} \, \Omega \cdot \text{m} \)[/tex].
Let's substitute these values into the formula:
[tex]\[ R = 2.8 \times 10^{-8} \, \Omega \cdot \text{m} \times \frac{2 \, \text{m}}{1.55 \times 10^{-6} \, \text{m}^2} \][/tex]
After calculating the above expression, the resistance [tex]\( R \)[/tex] is approximately:
[tex]\[ R = 0.0361 \, \Omega \][/tex]
So, the resistance of the metal wire is approximately 0.0361 ohms.
Thanks for taking the time to read Calculate the resistance of a metal wire with a length of 2 m and an area of cross section tex 1 55 times 10 6. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
