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 of the following statements are correct about the electrical resistance and resistivity of a wire?
1. Both quantities depend on the area of cross-section of the wire
2. Both depend on the temperature
3. Resistance of the wire is directly proportional to the resistivity of the wire
4. Resistivity of the wire is directly proportional to the length of the
wireSelect the correct answer using the code given below:
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