Q1. [1] § 11.6 RESISTANCE OF A SYSTEM OF RESISTORS § 11.6.2 Resistors in Parallel
Study the I-V graph for three resistors of resistances R₁, R₂ and R₃ and select the correct statement from the following :
- (A) R₁ = R₂ = R₃
- (B) R₁ > R₂ > R₃
- (C) R₃ > R₂ > R₁
- (D) R₂ > R₃ > R₁
Previously asked in CBSE board exam
2024 31/2/1 Q15
Generated by claude-sonnet-4-6 · 2026-06-15 06:46 · grounding rag
Model Answer
(C) R₃ > R₂ > R₁
In an I-V graph, slope = I/V = 1/R. A steeper slope means lower resistance. Since R₁ has the steepest slope, it has the least resistance, giving R₃ > R₂ > R₁.
Explanation
The key concept: in an I-V graph, slope = 1/R (from Ohm's law, I = V/R). A steeper line → higher current for same voltage → lower resistance. R₁ is steepest, so R₁ is smallest; R₃ is least steep, so R₃ is largest. Students often confuse steeper slope with higher resistance — remember it is the inverse.
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