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If a resistive wire is elongated, its resistance (SSC CGL 1st Sit. 2012)
- a)decreases
- b)remains constant
- c)increases
- d)All of the above
Correct answer is option 'C'. Can you explain this answer?
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If a resistive wire is elongated, its resistance (SSC CGL 1st Sit. 20...
Resistance of a Resistive Wire when Elongated
When a resistive wire is elongated, its resistance increases. This phenomenon can be explained by the following points:
Effect of Elongation on Resistance
- As the length of the wire increases, the number of atoms or ions that the charge carriers (electrons) must navigate through also increases.
- This increased path length results in more collisions between the charge carriers and the atoms, leading to higher resistance.
- The resistance of a wire is directly proportional to its length, according to the formula R = ρ * L/A, where R is resistance, ρ is resistivity, L is length, and A is cross-sectional area.
Explanation of the Options
- Option 'A' (decreases) is incorrect because elongating a resistive wire does not lead to a decrease in resistance.
- Option 'B' (remains constant) is incorrect because the resistance of a wire changes with its length.
- Option 'C' (increases) is the correct answer as explained above.
Therefore, when a resistive wire is elongated, its resistance increases due to the longer path length the charge carriers must travel through, resulting in more collisions and higher resistance.
When a resistive wire is elongated, its resistance increases. This phenomenon can be explained by the following points:
Effect of Elongation on Resistance
- As the length of the wire increases, the number of atoms or ions that the charge carriers (electrons) must navigate through also increases.
- This increased path length results in more collisions between the charge carriers and the atoms, leading to higher resistance.
- The resistance of a wire is directly proportional to its length, according to the formula R = ρ * L/A, where R is resistance, ρ is resistivity, L is length, and A is cross-sectional area.
Explanation of the Options
- Option 'A' (decreases) is incorrect because elongating a resistive wire does not lead to a decrease in resistance.
- Option 'B' (remains constant) is incorrect because the resistance of a wire changes with its length.
- Option 'C' (increases) is the correct answer as explained above.
Therefore, when a resistive wire is elongated, its resistance increases due to the longer path length the charge carriers must travel through, resulting in more collisions and higher resistance.
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Community Answer
If a resistive wire is elongated, its resistance (SSC CGL 1st Sit. 20...
As the length increases and the cross sectional area decreases, the electrical resistance of the wire also rises.
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