The resistance R depends on

Options

A. material of the conductor
B. dimension of conductor
C. Both (1)and(2)
D. Neither (1) nor (2)

Answer

To determine how the resistance \( R \) of a conductor depends on various factors, we can analyze the relationship using the formula for resistance. Here's a step-by-step solution:

### Step 1: Understand the Formula for Resistance
The resistance \( R \) of a conductor is given by the formula:
\[ R = \rho \frac{L}{A} \]
where:
- \( R \) is the resistance,
- \( \rho \) is the resistivity of the material,
- \( L \) is the length of the conductor,
- \( A \) is the cross-sectional area of the conductor.

### Step 2: Identify the Factors Affecting Resistance
From the formula, we can see that the resistance \( R \) depends on three main factors:
1. **Material of the Conductor**: The resistivity \( \rho \) is a property that depends on the material used. Different materials have different resistivities. For example, copper has a low resistivity and is a good conductor, while rubber has a high resistivity and is an insulator.
2. **Length of the Conductor**: The resistance is directly proportional to the length \( L \) of the conductor. This means that if the length increases, the resistance also increases.
3. **Cross-sectional Area of the Conductor**: The resistance is inversely proportional to the area \( A \) of the conductor. This means that if the area increases, the resistance decreases.

### Step 3: Conclusion
Based on the analysis, we conclude that the resistance \( R \) depends on:
- The material of the conductor (through resistivity \( \rho \)),
- The length of the conductor \( L \),
- The cross-sectional area of the conductor \( A \).

Thus, the correct answer is that the resistance \( R \) depends on both the material and the dimensions (length and area) of the conductor.

### Final Answer
The resistance \( R \) depends on:
- The material of the conductor,
- The length of the conductor,
- The cross-sectional area of the conductor.