Limitations of Ohm's Law: When V = IR Fails

Physics · Current Electricity · NEET

Ohm's law (V = IR) is not a universal law. It fails when V and I are not proportional, so the V-I graph is not a straight line through the origin. NCERT lists three deviations: (a) V stops being proportional to I, (b) the current depends on the sign of V (like a diode), and (c) one current I can give more than one V (like GaAs). Memory hook: OHM breaks for "DGN" - Diode, GaAs, Non-linear.
IIVOhmic (metal)IVDiode (sign of V)IVGaAs (not unique)
The three NCERT deviations from Ohm's law: (left) an ohmic metal gives a straight V-I line; (middle) a diode's current depends on the sign of V and the curve is not symmetric; (right) GaAs shows a fold where one current I matches more than one V. None except the metal obeys V = IR.

Your doubts, answered

Is Ohm's law a universal law?

No. Ohm's law is NOT a fundamental or universal law of nature. It is only an experimental result that holds for many metals at constant temperature. Many materials and devices (diodes, GaAs, electrolytes, gases) do not obey it. So never assume V = IR works for every element in a NEET circuit.

Why does a diode not obey Ohm's law?

In a diode the relation between V and I depends on the SIGN (direction) of V. If a voltage V gives current I one way, then reversing V to -V does not give -I of the same size. Current flows easily in forward bias but almost none in reverse bias. Because the V-I graph is not a straight line and is not symmetric, V is not proportional to I, so Ohm's law fails.

What does non-ohmic mean?

A non-ohmic conductor is one whose V-I graph is NOT a straight line through the origin. This means its resistance R = V/I is not constant - it changes with voltage or current. Examples: diode, transistor, filament bulb, GaAs, thermistor. An ohmic conductor (like a metal wire at fixed temperature) gives a straight V-I line and constant R.

If Ohm's law fails, does resistance still exist?

Yes. You can still define resistance at any point as R = V/I (called static or DC resistance). But for a non-ohmic device this value is NOT constant - it depends on the operating point on the V-I curve. So resistance exists, but there is no single fixed R for the whole device the way there is for a metal wire.

Why can GaAs give more than one voltage for the same current?

For GaAs the V-I relation is not unique. In one region of its curve, increasing V actually decreases I (negative resistance region). Because of this fold in the curve, a single value of current I can correspond to more than one value of V. That breaks the one-to-one V = IR relation, so it is non-ohmic. This is NCERT deviation type (c).

⚠️ The NEET trap
Ohm's law is a universal law that every conductor and device must obey.
Ohm's law is only an experimental relation valid for ohmic materials (metals at constant temperature). Diodes, GaAs, semiconductors and filament bulbs are non-ohmic and violate it.
🧠 NTA loves the word 'universal' - if a statement calls Ohm's law universal or fundamental, mark it FALSE.

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Frequently asked

What are the three limitations of Ohm's law given in NCERT?

(a) V ceases to be proportional to I (V-I graph bends). (b) The V-I relation depends on the sign of V, so reversing V does not reverse I equally - this happens in a diode. (c) The V-I relation is not unique, so one current I can give more than one V - this happens in GaAs.

Give examples of devices that do not obey Ohm's law.

Semiconductor diode, transistor, GaAs, thermistor, filament bulb (its resistance rises as it heats), electrolytes and gases. These are all non-ohmic because their V-I graph is not a straight line through the origin.

Is a filament bulb ohmic or non-ohmic?

Non-ohmic. As current increases, the filament heats up and its resistance increases, so the V-I graph curves and V is not proportional to I. Only at a fixed temperature would a metal behave ohmically.

Does temperature affect whether Ohm's law holds?

Yes. Ohm's law assumes constant temperature. If current heats the conductor, resistance changes and the V-I graph is no longer a straight line. This is why heating devices deviate from V = IR.