Resistance is directly propotional to the length of the wire. It is denoted by R. By shortening the wire the value of resistance is decreased in the wire.
The flow of current is due to the flow of charge in the wire. Resistance causes an opposition force in the flow of the current due to which the flow of current got reduced.
Hence resistance is inversly propotional to the value of the flow of current.
If the length of the wire, the cross-sectional area of the wire, and resistivity of the material are known, the resistance of the wire may be computed as follows:
[tex]\rm R=\frac{\rho l}{A}[/tex]
R is the resistance,
is the wire's resistivity
L is the wire's length
A is the area of a crosssection of the wire.
From the above formula, we get the resistance is directly propotional to the length of the wire.
Hence by shortening the wire the value of resistance is decreased in the wire.
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