A. The resistance of a 1m long
nichrome wire is 6 oham. If we reduce
the length of the wire to 70 cm
what will its resistance be?
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1
Answer:
Length = 1 m.
Resistance = 6 Ω.
Area if cross section = a
Now, Resistivity = Ra/l
p=1
6∗a
p=6a
In second case :-
Length = 70 cm = 0.7 m
Resistance = R
Area of cross section = a
Now, Resistivity =Ra/l
p=Ra/0.7
Since for the same material the resitivity will be same whether the area or the length either decrease or increase, therefore . from eq I and ii
6a=Ra/0.7
R = 6 × 0.7
R = 4.2 Ω.
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