Question

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

Answer 1

The Correct Option is B

The I-V characteristic graph illustrates the direct relationship between current (I) and voltage (V) for resistors. The resistance is directly proportional to the slope of this graph; a steeper slope signifies greater resistance. The resistances R₁, R₂, and R₃ are determined as follows:

• A steeper slope, indicating a slower increase in current relative to voltage, corresponds to higher resistance.
• A gentler slope, indicating a faster increase in current relative to voltage, corresponds to lower resistance.

Based on the graph's slopes:

• The line for R₁ exhibits the steepest slope, denoting the highest resistance.
• The line for R₃ displays the gentlest slope, indicating the lowest resistance.
• The slope of the line for R₂ lies between those of R₁ and R₃.

Therefore, the resistances are ordered from highest to lowest as:

• R₁ > R₂ > R₃