the resistivity of copper is 1.76 x 10-8 ohm metre the radius of the wire is 1mm, calculate the lenght of wire needed for having resistance of 10.5 ohm.
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Answered by
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R = ρl/A
⇒ R = ρl/πr2 ...(1)
Where,
R = 10.5 Ω, ρ = 1.76 * 10-8Ωm and radius r = 1mm = 1 * 10-3m
From equation (1)
length l = πr2R/ρ
On putting all values you will get
length l = 1873.3 m
R = ρl/A
⇒ R = ρl/πr2 ...(1)
Where,
R = 10.5 Ω, ρ = 1.76 * 10-8Ωm and radius r = 1mm = 1 * 10-3m
From equation (1)
length l = πr2R/ρ
On putting all values you will get
length l = 1873.3 m
karandhamija031:
Plz explain me in detail
Answered by
2
Answer:
The length, L, of the wire measured is .
Explanation:
Given,
The resistivity of the copper wire, ρ =
The radius of the wire, r = = .
The resistance of the wire, R =
The length of the wire, L =?
Now,
- The length of the wire can be calculated by the resistivity formula given below:
- -------equation (1)
Here, A = area of cross- section =
After putting the A = in equation (1), we get:
Thus,
After putting the given values in the equation, we get:
Hence, the length of the wire, L = .
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