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 for resistors shows the relationship between the current (I) through the resistor and the voltage (V) across it. The slope of the line in an I-V graph indicates resistance; a steeper slope corresponds to higher resistance. To determine the resistances R₁, R₂, and R₃:

• Resistor with a steeper slope (lower rate of current increase with voltage) has higher resistance.
• Resistor with a gentler slope (higher rate of current increase with voltage) has lower resistance.

Analyzing the graph, we find:

• The line representing R₁ has the steepest slope, indicating the highest resistance.
• The line representing R₃ has the gentlest slope, indicating the lowest resistance.
• The line for R₂ falls between R₁ and R₃ in terms of slope.

Thus, the correct order of resistances is:

• R₁ > R₂ > R₃