How is the resistance of a wire related to the length of the wire?

CONCEPT:

• Resistance: The property of any conductor that opposes the flow of electric current through it and depends on the shape and size of the materials, temperature, and nature of the materials is called resistance.
  • It is denoted by R and the SI unit is the ohm (Ω).
• The resistance is given by \(\Rightarrow R=\frac{\rho l}{A}\)

Where R = resistance , ρ = resistivity, l = length of the wire and A = cross-sectional area

• The resistance (R) of a wire is directly proportional to its length (L).
  
  Additional Information 
• Resistivity (ρ): The property of a conductor that opposes the flow of electric current through them and independent of the shape and size of the materials but depends on the nature and temperature of the materials is called resistivity.
  • The unit for resistivity is the ohm-meter (Ω-m).
  • The resistivity of a material depends on its nature and the temperature of the conductor.
  • The resistivity of a material doesn't depend on its shape and size (length and area).