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The Value of resistance does not depend ...

The Value of resistance does not depend upon ?

A

Potential Difference.

B

Nature of the Material

C

Dimensions

D

Temperature

Text Solution

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To solve the question regarding what the value of resistance does not depend on, we can analyze the options provided based on the fundamental concepts of resistance in physics. ### Step-by-Step Solution: 1. **Understanding Resistance**: Resistance (R) is defined as the opposition to the flow of electric current in a conductor. It is given by the formula: \[ R = \frac{\rho L}{A} \] where: - \( R \) = resistance - \( \rho \) = resistivity (specific resistance) of the material - \( L \) = length of the conductor - \( A \) = cross-sectional area of the conductor 2. **Analyzing the Options**: - **Potential Difference**: This is the voltage across the conductor. According to Ohm's Law, while the current through a resistor changes with potential difference, the resistance itself remains constant for a given material and dimensions. Thus, resistance does not depend on potential difference. - **Nature of the Material**: The resistivity (\( \rho \)) is a property that depends on the material itself. Different materials have different resistivities, which directly affects resistance. Therefore, resistance does depend on the nature of the material. - **Dimensions**: The resistance is directly proportional to the length (\( L \)) and inversely proportional to the cross-sectional area (\( A \)). Therefore, resistance does depend on the dimensions of the conductor. - **Temperature**: Resistance is also affected by temperature. Generally, as temperature increases, the resistance of most conductors increases as well. Therefore, resistance does depend on temperature. 3. **Conclusion**: From the analysis above, we can conclude that the value of resistance does not depend on potential difference. ### Final Answer: The value of resistance does not depend on **potential difference**.

To solve the question regarding what the value of resistance does not depend on, we can analyze the options provided based on the fundamental concepts of resistance in physics. ### Step-by-Step Solution: 1. **Understanding Resistance**: Resistance (R) is defined as the opposition to the flow of electric current in a conductor. It is given by the formula: \[ R = \frac{\rho L}{A} ...
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