# The dependence of resistance (R) of a conducting wire on its length (l) is given by:

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The dependence of resistance (R) of a conducting wire on its length (l) is given by:
1. $R \propto \frac{1}{l}$
2. $R \propto l$
3. $R \propto \frac{1}{l^2}$
4. $R \propto l^2$
5. Does not depend on length

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Correct Answer - Option 2 : $R \propto l$

The correct answer is $R \propto l$ .

• The resistance R of a cylinder of length L and cross-sectional area A is given by the formula:

$R= ρL/A$

Thus the resistance of the body is directly proportional to the length and resistivity of material & inversely proportional to its cross-sectional area.

• Ohms Law
• Ohms Law says that when a voltage (V) is applied between two points in a circuit, an electrical current (I) starts to flow between them supported by the presence of the potential difference between these two points.
• The amount of electrical current which flows is regulated by the amount of resistance (R) present.
• In other words, the voltage encourages the current to flow (the flow of charge), but it is resistance that discourages it.