What Is Ohm's Law? Statement, Formula V = IR and Meaning

Physics · Current Electricity · NEET

Ohm's law says that at constant temperature, the current I through a conductor is directly proportional to the potential difference V across it. So V is proportional to I, and the constant of proportionality is the resistance R, giving the formula V = IR. Memory hook: "Voltage pushes, Resistance resists, Current flows" — V = I times R, so R = V / I is just the slope of the straight V-I line.
V-I graph: Ohmic (straight) vs Non-ohmic (curved)Current I (A)Voltage V (V)slope = R = V / IOhmic: V = IRCurrent I (A)Non-ohmic: R changesR = V/I still defined,but not constant
Left: an ohmic conductor gives a straight V-I line through the origin whose slope is R, so V = IR with constant R (Ohm's law obeyed). Right: a non-ohmic device gives a curved V-I graph, R = V/I is still defined at each point but is not constant, so Ohm's law fails.

Your doubts, answered

Is the real Ohm's law 'V is proportional to I' or just the formula V = IR?

The actual statement of Ohm's law is the proportionality: V is proportional to I (at constant temperature and physical conditions). V = IR is the equation you get after writing R as the constant of proportionality. So V = IR by itself is really just the definition of resistance (R = V / I) and is always true for any device. The physics content of Ohm's law is the extra claim that R stays constant when V and I change. NEET loves this distinction.

Should I write it as V = IR or I = V / R?

They are the same relation rearranged. V = IR gives voltage when you know current and resistance. I = V / R gives current when you know voltage and resistance. R = V / I gives resistance. Learn all three forms; NEET numericals expect you to pick whichever isolates the unknown.

Why is V directly proportional to I?

Inside a conductor, a bigger potential difference V makes a stronger electric field, which pushes the free electrons faster (higher drift velocity), so more charge flows per second — a bigger current I. If temperature is fixed, doubling V doubles I, keeping V / I constant. That constant is R.

What must stay constant for Ohm's law to hold?

Temperature (and physical state) must stay constant. If current heats the wire, R rises and the V-I line bends, so the material stops being ohmic. That is why the statement always adds 'at constant temperature'.

Does every conductor obey Ohm's law?

No. Ohmic conductors (like metallic wires at fixed temperature) give a straight V-I line through the origin. Non-ohmic devices (diodes, filament bulbs, electrolytes, semiconductors) give curved V-I graphs, so V = IR is not obeyed as a constant-R law even though R = V / I is still defined at each point.

⚠️ The NEET trap
Ohm's law means V = IR, and since V = IR is always true, every conductor obeys Ohm's law.
V = IR (i.e. R = V / I) is always true and only defines resistance. Ohm's law is the stronger statement that R is constant, so V is proportional to I. Diodes and bulbs satisfy R = V / I at each point but do NOT obey Ohm's law because R changes.
🧠 Ohm's law = 'R stays constant', not just 'V = IR'. If the V-I graph is curved, R = V/I still exists but Ohm's law fails.

Real NEET questions

NEET 2019

In the two circuits shown (same 10 V cell, same 10 ohm resistor; ideal meters, only the order of the voltmeter V and ammeter A swapped), the readings of the voltmeters and ammeters will be:

A · V2 > V1 and i1 > i2
B · V1 = V2 and i1 > i2
C · V1 = V2 and i1 = i2
D · V2 > V1 and i1 = i2
Solution: An ideal ammeter has 0 ohm resistance and an ideal voltmeter has infinite resistance, so swapping their order does not change the circuit. The full 10 V of the cell appears across the 10 ohm resistor in both circuits, so V1 = V2 = 10 V. By Ohm's law I = V / R = 10 / 10 = 1 A in both, so i1 = i2 = 1 A. Hence V1 = V2 and i1 = i2, option C.

Solved Current Electricity NEET PYQs

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Frequently asked

State Ohm's law in one line.

At constant temperature, the current through a conductor is directly proportional to the potential difference across it, i.e. V is proportional to I, so V = IR where R is the resistance.

What is the formula of Ohm's law?

V = IR, where V is the potential difference in volts, I is the current in amperes, and R is the resistance in ohms. Rearranged: I = V / R and R = V / I.

What does each symbol in V = IR mean?

V is the potential difference (voltage) across the conductor in volts (V). I is the current through it in amperes (A). R is the resistance in ohms (symbol capital omega).

Is resistance the slope of the V-I graph?

Yes. For an ohmic conductor the V-I graph is a straight line through the origin, and its slope equals R = V / I. A steeper line means higher resistance.

Who discovered Ohm's law and when?

It was discovered by the German scientist G. S. Ohm in 1826-1828, before the electron theory of current was known. The SI unit of resistance, the ohm, is named after him.