If the length of a conductor is doubled, then the resistance of the conductor will be: (other parameters are kept same)
Doubled
To understand the effect of doubling the length of a conductor on its resistance, we begin with the formula for electrical resistance:
R = ρ(L/A)
where:
- R is the resistance.
- ρ (rho) is the resistivity of the material.
- L is the length of the conductor.
- A is the cross-sectional area.
According to this equation, resistance is directly proportional to the length of the conductor. This means that if the length L is doubled, the resistance R will also be doubled, assuming that the resistivity ρ and the cross-sectional area A remain constant.
Therefore, when the length of a conductor is doubled while keeping other parameters constant, the resistance of the conductor will be doubled.
The correct answer is: Doubled
Important Questions from Resistance and Resistivity
Which factor does NOT affect the resistivity of a material?
Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster does not belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
In a circuit, a 10-volt battery and three resistors ( R1 = 2 Ω ), ( R2 = 3 Ω), and ( R3 = 6 Ω) are connected in parallel to each other. Which of the following is the correct value of effective resistance ( Re ) and current I flowing through the circuit?
A uniform wire of resistance 9Ω is bent in the form of an equilateral triangle. Find the effective resistance across a side of the triangle.
A potential difference of 10V is applied across a conductor of conductance 5Ω-1. The current through the conductor is :
