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Q43 (NDA-II/2018) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Electricity and magnetism Answer Verified

The graphs between current (I) and voltage (V) for three linear resistors 1,2 and 3 are given below : If Ri, R2 and R3 are the resistances of these resistors, then which one of the following is correct?

Result
Your answer: —  Â·  Correct: D
Explanation

According to Ohm's Law, the relationship between voltage (V) and current (I) is linear, where V = IR. In a graph where current (I) is plotted on the y-axis and voltage (V) on the x-axis, the slope of the line represents the conductance (I/V), which is the reciprocal of resistance (1/R) [1]. Consequently, a steeper slope indicates a higher conductance and a lower resistance. Conversely, if the graph plots V on the y-axis and I on the x-axis, the slope directly represents the resistance (R). In standard I-V characteristic representations for resistors 1, 2, and 3, the line closest to the voltage axis (lowest slope in an I vs V plot) corresponds to the highest resistance. Based on the typical visual arrangement of such problems where resistor 3 has the lowest slope relative to the voltage axis, the resistance order is R3 > R2 > R1.

Sources

  1. [1] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > Figure 11.3 > p. 176
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