The length of a wire is doubled by
pulling it. Find the new resistance . Good answer I will mark as brainliest.
Answers
Answer:
The electrical resistance of a wire would be expected to be greater for a longer wire, less for a wire of larger cross sectional area, and would be expected to depend upon the material out of which the wire is made.The resistance of a wire can be expressed as R=ρ
A
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 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.
That is, if L becomes 2 L, R becomes 2 R. R
′
=ρ
A
2L
. So, R = 2R'.
Hence, If the length of a wire is doubled, then its resistance becomes 2 times.
Explanation:
To solve this question note the formula
Resistance=Resistivity*length /Area
If the length of the wire is increased by two times then the area decrease by two times
Hence
New resistence=Resistivity*2* orginal length/orginal Area/2
=4*Resistivity * orginal length/orginal area
=4*orginal resistance
Hence the resistence increases by four times compared to the orginal resistence
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