The graph below represents the relationship between the...

The graph below represents the relationship between the potential difference ( $V$ ) across a resistor and the current (I) through the resistor.
Through which entire interval does the resistor obey Ohm's law?
(A) $A B$
(B) $B C$
(C) $C D$
(D) $A D$

Key Concepts

Ohm’s Law

Ohm’s Law states that the potential difference (voltage) across a resistor is directly proportional to the current flowing through it, as expressed by the equation V = IR. This relationship implies that, for a resistor obeying Ohm’s Law, the resistance remains constant over a range of applied voltages and currents.

Linear Relationship

A linear relationship between two variables means that they change at a constant rate relative to each other. In the context of IV (current-voltage) characteristics for resistors, a straight line on the graph indicates that the resistance is constant, which is a hallmark of ideal ohmic behavior.

Resistance

Resistance is a measure of the opposition to the flow of electric current in a material. It is defined as the constant of proportionality in Ohm’s Law. When a resistor exhibits a constant resistance, the IV graph will be linear, showing that the material behaves predictably under varying electrical conditions.

Graphical Analysis in Circuit Theory

Graphical analysis involves interpreting plots like the current-voltage (IV) curve to understand electrical component behavior. By examining the slope and linearity of the graph, one can determine if a resistor operates under ohmic conditions, meaning that the component maintains a constant resistance as stated by Ohm’s Law.

Transcript

Please give Ace some feedback