The specific resistance of a wire is p, its volume is 3m^3, and its resistance is 3ohm. then what eill be its length?
Answers
Answered by
13
resistance of wire = ρl/A
l = length of wire
A = area of wire
l x A = volume
so we can also write
R = ρl^2 / lA = ρl^2 / V
3 = ρl^2 /3
so l^2 = 9/ρ
so l = 3 / √ρ meter
i hope it will help you
regards
l = length of wire
A = area of wire
l x A = volume
so we can also write
R = ρl^2 / lA = ρl^2 / V
3 = ρl^2 /3
so l^2 = 9/ρ
so l = 3 / √ρ meter
i hope it will help you
regards
Rizvi1:
options. a) √ (1/p) b) 3/p c) √3 / p d) p √(1/3)
Answered by
3
R = pL/A
To answer this question you should know above fromula.
Rearrange above equation to find L
L = RA / p
L = R × V/L × 1/p ……[∵ Area = Volume / Length]
L² = RV / p
L = √[(RV) / p]
= √[(3 Ω × 3 m³) / p]
= 3 / √p
Length of wire is 9 / √p
To answer this question you should know above fromula.
Rearrange above equation to find L
L = RA / p
L = R × V/L × 1/p ……[∵ Area = Volume / Length]
L² = RV / p
L = √[(RV) / p]
= √[(3 Ω × 3 m³) / p]
= 3 / √p
Length of wire is 9 / √p
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