Which of the following I-V graph represents ohmic conductors?

Options

A.
B.
C.
D.

Explanation

To determine which I-V graph represents ohmic conductors, we will follow these steps:

### Step 1: Understand Ohm's Law
Ohm's Law states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points. This relationship can be expressed mathematically as:
\[ V = IR \]
where \( R \) is the resistance.

### Step 2: Rearrange the Equation
From Ohm's Law, we can rearrange the equation to express current in terms of voltage:
\[ I = \frac{V}{R} \]
This shows that current (I) is directly proportional to voltage (V) for a constant resistance (R).

### Step 3: Graphical Representation
Since I is directly proportional to V, when we plot the current (I) on the y-axis and voltage (V) on the x-axis, the graph will be a straight line. The slope of this line will be \( \frac{1}{R} \), indicating that the resistance is constant.

### Step 4: Identify the Correct Graph
To identify which graph represents an ohmic conductor, look for a straight line passing through the origin (0,0). This straight line indicates that as voltage increases, current increases linearly, which is characteristic of ohmic behavior.

### Conclusion
The graph that is a straight line through the origin represents an ohmic conductor.