If the length of a conductor is increased five times, keeping material and thickness same, its resistance will

The correct answer is become five times of the original.

Key Points

• The obstruction to current flow in an electrical circuit is measured by resistance.
• The SI unit of resistance is ohms.
• The formula for resistance of a material is given as, \(R= \rho {l \over A}\), where \(\rho\) l, A, are the resistivity, length, and area of the cross-section of the material.
• When the length of the material is increased, the resistance will also be increased and when the area of the cross-section of the material is increased, the resistance will be reduced.
• If the length of a conductor is increased five times, keeping the material and thickness the same, its resistance will become five times of the original.

Additional Information

• Electrical resistivity is a fundamental feature of a material that quantifies how much it opposes the flow of electric current. Current flow is enhanced by lower resistivity.
• When a material's conductivity increases, its resistivity decreases and vice versa since resistivity is the reciprocal of conductivity.
• Temperature and resistivity are indirectly correlated. In other words, as a material's temperature rises, its resistivity will fall.