Specific resistance of a wire depends on its

Options

A. length of the wire
B. area of cross - section of the wire
C. resistance of the wire
D. material of the wire

Answer

To solve the question regarding the specific resistance of a wire, we need to understand what specific resistance (also known as resistivity) is and the factors that influence it. Here’s a step-by-step breakdown:

### Step 1: Understand the Definition of Specific Resistance
Specific resistance (ρ) is defined as the resistance offered by a material per unit length and per unit cross-sectional area when a voltage is applied. It is a measure of how strongly a material opposes the flow of electric current.

### Step 2: Identify the Formula
The formula for specific resistance is given by:
\[ \rho = \frac{R \cdot A}{L} \]
Where:
- \( \rho \) = specific resistance (resistivity)
- \( R \) = resistance
- \( A \) = cross-sectional area
- \( L \) = length of the wire

### Step 3: Analyze the Dependence of Specific Resistance
From the formula, we can see that specific resistance is defined in terms of resistance, area, and length. However, it is important to note that:
- Specific resistance is an intrinsic property of the material, meaning it does not depend on the dimensions (length or area) of the wire.
- It is primarily influenced by the material itself and its temperature.

### Step 4: Conclusion on Factors Affecting Specific Resistance
Since specific resistance is a property of the material, it depends on:
- The type of material (e.g., copper, aluminum, etc.)
- The temperature of the material

Thus, the specific resistance does not depend on the length or cross-sectional area of the wire.

### Final Answer
The specific resistance of a wire depends on the material and its temperature.