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san4es73 [151]
3 years ago
12

The resistance of a wire depends upon the material's resistivity and the length and cross‑sectional area of the wire. What will

happen to the resistance of a wire if its length is multiplied by 4?
Physics
1 answer:
andriy [413]3 years ago
6 0

Answer:

R' = 4R

The resistance will become 4 times the initial value.

Explanation:

The resistance of a wire at room temperature, is given by the following formula:

R = ρL/A   ----------- equation 1

where,

R = Resistance of wire

ρ = resistivity of the material

L = Length of wire

A = Cross-sectional area of wire

Now, if the length (L) is multiplied by 4, then resistance will become:

R' = ρ(4L)/A

R' = 4 (ρL/A)

using equation 1:

<u>R' = 4R</u>

<u>The resistance will become 4 times the initial value.</u>

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