What is the relation between V and I from Ohm's law.

Options

A. V depends on I linearly
B. V doesn't depend on I
C. V depend on I non-linearly
D. Can't say

Explanation

To derive the relationship between voltage (V) and current (I) as stated in Ohm's Law, we can follow these steps:

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

### Step 2: Rearranging the Equation
From the equation \( V = I \times R \), we can see that if we know the resistance (R), we can express the relationship between voltage and current. Rearranging gives:
\[ I = \frac{V}{R} \]
This shows that current is directly proportional to voltage when resistance is constant.

### Step 3: Graphical Representation
If we plot a graph of voltage (V) on the y-axis and current (I) on the x-axis, the relationship is linear. The slope of the line is equal to the resistance (R):
- If R is constant, the graph will be a straight line passing through the origin.
- The slope of the line (θ) represents the resistance:
\[ R = \frac{V}{I} \]

### Step 4: Conclusion
Thus, the relationship between voltage (V) and current (I) according to Ohm's Law is that they are directly proportional to each other when resistance is constant. This means that if the voltage increases, the current will also increase, provided the resistance does not change.

### Summary
The relationship between V and I from Ohm's law is:
\[ V \propto I \]
This indicates a linear relationship where the slope of the line is the resistance (R).

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