#### Question

How does the resistance of a wire change when:

its length is tripled?

#### Solution

Resistance,

`R=l/A`

where *l* = length of wire

*A*= area of cross-section of the wire

When the length is tripled, *l' = 3l*

New resistance,

`R'=l/A `

`R'=(rho(3l))/A=(3l)/A`

`R=3R`

`R=P/A`

Thus, the resistance will become three times the original resistance.

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Solution How Does the Resistance of a Wire Change When: Its Length is Tripled? Concept: Resistance of a System of Resistors - Resistors in Series.