a 4ohm resistance wire is doubled on it. calculate the new resistance of the wire?
Answers
Answered by
60
We consider wire is doubled on it means to fold the length of wire. It means its length will get half and area of cross section will get doubled.
∴ Let the resistance of the wire originally 'R' of length 'L' and area of cross-section 'A' with resistivity of material is 'p',
Then
R = p l/A = 4Ω
Now, for new arrangement,
p' = p
l' = l / 2
A' = 2A
Thus,
R' = p' l'/A' = p (l /2) ÷ 2A = !/4 (p l / A) = 1/4R = 1/4 × 4 = 1Ω.
∴ Let the resistance of the wire originally 'R' of length 'L' and area of cross-section 'A' with resistivity of material is 'p',
Then
R = p l/A = 4Ω
Now, for new arrangement,
p' = p
l' = l / 2
A' = 2A
Thus,
R' = p' l'/A' = p (l /2) ÷ 2A = !/4 (p l / A) = 1/4R = 1/4 × 4 = 1Ω.
Answered by
48
Answer:
Explanation:mark as brainless...
Attachments:
Similar questions