Physics Current Electricity SZABMU 2024
PMDC Verified Question 3 of 112
The gradient/slope of I-V (Current-Potential) graph provides ____.
A
Conductance
B
Conductivity
C
Resistance
D
Resistivity
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Conductance
Concept:

The slope of any 2D graph is the change in the y-axis divided by the change in the x-axis.

Formula:

$$ \text{Slope} = \frac{\Delta y}{\Delta x} = \frac{\Delta I}{\Delta V} $$

Solution:

  • By Ohm's Law, \( R = \frac{V}{I} \).


  • The slope of an I-V graph (where Current is Y and Voltage is X) is \( \frac{I}{V} \).


  • This is the exact mathematical reciprocal of resistance (\( \frac{1}{R} \)).


  • The reciprocal of resistance is formally defined as Conductance.


Why other options are incorrect:

  • Opt C: Resistance would be the slope of a V-I graph, not an I-V graph.


  • Opt B & D: These are intrinsic material properties that require knowledge of physical dimensions, not just electrical readings.

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