A metallic wire is cut into 3 equal parts. The resistivity of each part
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Answer:
1/9
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Answer:
A wire whose resistance is R is cut into 3 pieces. What is the equivalent resistance in a parallel combination?
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7
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Richard Urwin, Licensed Radio Amateur (Ham)
Answered June 22, 2017
If the pieces are of equal length, then you can think of it two ways.
First consider if instead of cutting the wire, you just folded it over on itself. Then the new arrangement would have 1/3 the length and 3 times the cross-sectional area. Resistance is proportional to the length and inversely proportional to the cross-sectional area. Therefore the resistance would be 1/3 of 1/3 of R, which is R/9.
Or do it with the parallel resistance formula. Each piece has an equal amount of the resistance, so R/3.
The formula for resistances in parallel is 1/total = 1/a + 1/b+1/c.
1/(R/3) = 3/R
1/total = 3/R + 3/R + 3/R = 9/R
So total = R/9
aur koi question ho to jarur batana