A cylindrical conductor of length l and uniform area of cross-section A has resistance R. Another conductor of length 2l and resistance R of the same material has area of cross-section
Answers
Answer:
The resistance of a wire can be expressed as
R=ρ
A
L
A=ρ
R
L
where,
ρ - Resistivity - the factor in the resistance which takes into account the nature of the material is the resistivity
L - Length of the conductor
A - Area of a cross-section of the conductor.
From this relation, we observe that the length is directly proportional to the resistance and the area of cross-section is inversely proportional to the resistance.
In this case, the length of the conductor is doubled (2L) and so the resistance will be 2R. For the resistance to remain the same as R, the area of cross-section is also doubled as 2A.
Hence, the area of cross-section is 2A.
Explanation:
The resistance is given R so that the area depends on the length that is 2L; hence the area will also become double. Thus, the uniform area of cross-section of another cylindrical conductor will be 2A .
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