V-I Graph: Ohmic vs Non-Ohmic Conductors

Physics · Current Electricity · NEET

An ohmic conductor obeys V = IR, so its V-I graph is a straight line passing through the origin with a constant slope. A non-ohmic conductor (like a diode, a bulb filament, or GaAs) gives a curved or bent V-I graph because V is not directly proportional to I. Memory hook: "Straight line through zero = ohmic; any bend or curve = non-ohmic."
VIoriginstraight,slope = ROhmicVIR rises asit heats upNon-ohmic (bulb)IVreverse: ~0forwardNon-ohmic (diode)
Left: ohmic conductor gives a straight V-I line through the origin (slope = R). Middle: a bulb filament curves because resistance rises with heating. Right: a diode is asymmetric, conducting in forward bias but almost not in reverse bias.

Your doubts, answered

Is any straight line on a V-I graph ohmic?

No. It must be a straight line AND pass through the origin. If a line is straight but cuts the V-axis or I-axis (does not go through the point 0,0), then V is not directly proportional to I, so the device is non-ohmic even though the graph looks straight. Ohmic needs both: straight and through the origin.

Does the graph have to pass through the origin to be ohmic?

Yes. Ohm's law is V = IR, which means when V = 0, I = 0. So a truly ohmic V-I graph must pass through the origin (0,0). A line with an intercept means there is voltage even at zero current (or current at zero voltage), which V = IR does not allow.

Why is a bulb filament non-ohmic?

As current increases, the filament heats up. Its temperature rises a lot, so its resistance increases. Because R is no longer constant, V is not directly proportional to I, and the V-I graph curves (it bends toward the V-axis). NCERT lists this as deviation type (a): V ceases to be proportional to I.

Is a diode ohmic or non-ohmic?

A diode is non-ohmic. NCERT deviation type (b): the relation between V and I depends on the sign of V. In forward bias the diode conducts strongly, but in reverse bias almost no current flows. So reversing V does not give the same-size current in the opposite direction. The V-I graph is not symmetric, so it is non-ohmic.

What does the slope of a V-I graph tell me?

If you plot V on the y-axis and I on the x-axis, the slope (V/I) equals the resistance R. For an ohmic conductor this slope is constant everywhere. If instead you plot I on the y-axis and V on the x-axis (an I-V graph), the slope is 1/R. Always check which quantity is on which axis before reading resistance.

Why does GaAs give a strange V-I graph?

Gallium arsenide (GaAs) shows NCERT deviation type (c): the V-I relation is not unique. For one value of current there can be more than one value of voltage, so the curve folds back on itself (a negative-resistance region). This is clearly non-ohmic and is used in special electronic devices.

⚠️ The NEET trap
The V-I graph is a straight line, so the device must be ohmic.
A straight line is ohmic only if it also passes through the origin (0,0). A straight line with an intercept, or any curved/bent graph, is non-ohmic.
🧠 NEET loves straight lines that miss the origin. Ohmic = straight AND through zero.

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Frequently asked

What is an ohmic conductor?

An ohmic conductor is one that obeys Ohm's law V = IR at constant temperature, so its resistance stays constant. Its V-I graph is a straight line through the origin. Metals like copper and nichrome (at fixed temperature) are ohmic.

What is a non-ohmic conductor? Give examples.

A non-ohmic conductor does not obey V = IR, so its resistance is not constant and its V-I graph is curved or bent. NCERT examples are a semiconductor diode, gallium arsenide (GaAs), and a torch bulb filament, along with electrolytes and thermistors.

How do you tell ohmic from non-ohmic just from a graph?

Check two things: is the line straight, and does it pass through the origin? If both are yes, it is ohmic. If the graph curves, bends, has an intercept, or is not symmetric on reversing V, it is non-ohmic.

Does a non-ohmic device have resistance?

Yes, it still has resistance at each point, but the resistance is not constant. You find it as V/I at that specific point (called static resistance), and it changes from point to point along the curve.

Is a straight V-I graph through the origin steeper for higher or lower resistance?

When V is on the y-axis and I on the x-axis, the slope equals R. So a steeper line means higher resistance, and a flatter line means lower resistance. Remember to confirm the axes first.