What will happen to resistance if the length of the conductor is incre...
As the length of the conductor increases, resistance increases according to expression R = p l/A.
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What will happen to resistance if the length of the conductor is incre...
Introduction:
Resistance is a property of a conductor that opposes the flow of electric current. It depends on various factors, including the length of the conductor. In this question, we are asked to determine the effect of increasing the length of the conductor on its resistance.
Explanation:
When the length of a conductor is increased, the resistance also increases. This is due to the following reasons:
1. Relationship between Resistance and Length:
The resistance of a conductor is directly proportional to its length. This relationship is described by the formula:
R = ρ * (L / A)
Where R is the resistance, ρ (rho) is the resistivity of the material, L is the length of the conductor, and A is the cross-sectional area of the conductor.
2. Increase in Length:
When the length of the conductor is increased, the numerator in the resistance formula (L) increases. As a result, the resistance also increases.
3. Effect on Cross-Sectional Area:
The resistance of a conductor is inversely proportional to its cross-sectional area. However, in this question, we are only considering the effect of changing the length of the conductor, not its cross-sectional area. Therefore, the cross-sectional area remains constant.
4. Conclusion:
Based on the above explanation, it can be concluded that when the length of a conductor is increased, the resistance also increases. Therefore, the correct answer is option 'C' - Increases.