The value of resistance gets doubled if its length is ________ (keeping other parameters constant).

The correct answer is doubled.

Key Points

• Resistance is inversely correlated with wire cross-sectional area and directly correlated with wire length.
• The resistance doubles if the length of a wire is increased by adding more wire, while the cross-sectional area remains unchanged.
• \(Resistance (R)= \) \(ρL/A ​ \)
• We know that 
  • \(R=\)\(ρL/A\) \(----(i)\)
  • If the wire's length doubles, a new resistance will result.
  • \(R'=\) \(ρ2L/A\) \(------(ii)\)
  • By adjusting equation (ii), we obtain
  • \(R'=\) \(2R\)
  • Therefore, it follows that the new resistance will similarly double as the wire's length increases.

Additional Information

• Resistance
  • The ability of an electric conductor to resist the flow of current through it is known as the conductor's resistance.
  • \(R\) serves as a symbol for it.
  • Ohm (Ω) is the SI unit for resistance.
  • \(Resistance (R)= \) \(ρL/A\)
  • Where \(l \) is the conductor's length, \(A\) is its cross-sectional area, and \(ρ\) is the conductor's resistivity?