Slope of I-V graph of a resistor is numerically equal to:
Correct answer: A. Conductivity
- A. Conductivity
- B. Conductance
- C. Resistance
- D. Resistivity
Explanation
The slope of the current-voltage (I-V) graph for a resistor is numerically equal to the reciprocal of the resistance (conductivity) (1/R) of the resistor. This is derived from Ohm's law, which states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points, and inversely proportional to the resistance (R). It is represented as: I=V/R So, when you plot I-V graph, the slope of the line is 1/R.
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About Resistance and Resistivity
Resistance measures opposition to current in a conductor and follows R = V/I for an ohmic conductor, while resistivity is an intrinsic property of the material. Questions use R = ρL/A, examine effects of length, cross-sectional area and temperature, and distinguish resistance, resistivity, conductance and conductivity.
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