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Transfer conductor of resistance R length …

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Transfer conductor of resistance R length and thickness t resistivity P is conductor is cut into four equal parts the what will be the new registry of each word in and why
  • 1 answers

Sia ? 4 years, 6 months ago

Given that
Resistance = R
Length = L
Thickness=d
Resistivity =ρ
Now when wire cuts in 4 equal parts
L'= L/4
i) We know that resistivity is a material properties and does not depends on the physical dimensions.So even wire cuts in 4 equal but still resistivity will remain same.
So the answer is, resistivity will be same.

ii) We know that
R = ρ L/A
When L become 1/4 th then resistance for each part is R'
R' =  ρ L'/A  
L'= L/4
R' =  ρ L/4A
R'= R/4
It means that resistance will become one forth of initial resistance
a)Parallel connection:
We know that equivalent resistance given as

For given voltage parallel connection consume more power because it have low equivalent resistance.

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