A 4 ohm resistance wire doubled on it . calculate the new resistance of wire
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Answered by
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1 ohm is the answer
STORMSUNIL:
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Ok dear
answer is 2 Ohm
Listen if it is doubled it means cross section area is twice and length becomes half so resistance becomes 1/4 and new resistance is 1 ohm
But in one case i.e. if only cross section is doubled or only length is halfed then only resistance will become 1/2 and new resistance is 2 ohm
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Answered by
32
Given :-
R = 4 ohms.
To be calculate :-
New resistance of the wire.
Solution :-
We are given ,
R = 4 ohms .
When a wire is doubled on it , it's length would become half and area of cross would double . That is , a wire of length " l " and area of cross section A change to length l/2 and area of cross section 2A .
As you know ,
⇒ R = PL/A
⇒ R' = P(L/2) / 2A
Where R' is the new resistance .
So,
R'/R = {P(L/2) / 2A} / {PL/A}
After calculating , we get :-
R' /R = ¼
⇒ R' = R/4
⇒ 4/4
⇒ 1 Ohm.
Hence , the required new resistance of the wire is 1 Ohm.
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