Question

What will be the resistance of the wire when its length increases?

• A. Decreases
• B. Increases
• C. Remains constant
• D. None of these

Hint:

Always remember: $R \propto l$ and $R \propto \frac{1}{A}$.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
The resistance of a conductor is given by: \[ R = \rho \frac{l}{A} \] where $\rho$ = resistivity, $l$ = length, $A$ = cross-sectional area.
If length increases, resistance increases proportionally.
If area increases, resistance decreases.
Step 2: Detailed Explanation:
Since resistance is directly proportional to the length of the wire, increasing length leads to increased resistance.
Step 3: Final Answer:
When the length of a wire increases, its resistance Increases.