Negative Temperature Coefficient of Resistance: Which Materials?

Physics · Semiconductor Electronics : Materials, Devices And Simple Circuits · NEET

Semiconductors and insulators have a negative temperature coefficient of resistance (NTC). This means their resistance goes DOWN when temperature goes UP. Memory hook: "Semiconductors and insulators say NO to heat resistance" (N in NTC = No, resistance falls). Metals are the opposite (positive coefficient, resistance rises with heat).
Resistance vs TemperatureTemperature T (increasing)Resistance RMetal (positive)R rises with TSemiconductor / Insulator(negative: R falls with T)
Metals show a positive temperature coefficient (resistance rises with heat, red line). Semiconductors and insulators show a negative temperature coefficient (resistance falls with heat, green curve) because heating frees more charge carriers.

Your doubts, answered

What does 'negative temperature coefficient of resistance' actually mean?

The temperature coefficient alpha tells you how resistance changes with temperature. It is defined so that R = R0 (1 + alpha x change in T). If alpha is negative, then when temperature T increases, resistance R decreases. So 'negative coefficient' simply means resistance falls as the material gets hotter. Semiconductors and insulators behave this way.

Why do semiconductors and insulators have a negative coefficient?

In a semiconductor or insulator, most electrons are locked in the valence band at low temperature, so few charge carriers exist. When you heat the material, thermal energy kicks many electrons across the energy gap into the conduction band, creating free electrons AND holes. More carriers means it conducts better, so resistance drops. The gain of extra carriers beats the small increase in scattering, so R goes down overall.

Why do metals have a POSITIVE coefficient instead?

A metal already has a huge, fixed number of free electrons that does not change much with temperature. Heating cannot add many new carriers. What heating does is make the lattice atoms vibrate more, which scatters the electrons more often (relaxation time tau falls). More scattering means higher resistance. So for metals, R increases with T, giving a positive temperature coefficient.

Do insulators really have a negative coefficient too, or just semiconductors?

Both do. An insulator is just a semiconductor with a very large energy gap (Eg above about 3 eV). Heat still frees some carriers across that big gap, so its resistance also decreases with temperature. That is why the correct NEET answer is 'insulators AND semiconductors,' not 'semiconductors only.' The effect is weaker in insulators because the gap is large, but the sign of the coefficient is still negative.

Is silicon NTC or PTC?

Silicon is a semiconductor, so it has a negative temperature coefficient (NTC). Heating silicon frees more electron-hole pairs, so its resistance drops. The same is true for germanium and carbon (in its semiconducting form). Practical NTC thermistors used in temperature sensors are made from semiconductor oxides for exactly this reason.

⚠️ The NEET trap
Semiconductors only have a negative temperature coefficient of resistance.
Both insulators and semiconductors have a negative temperature coefficient. Insulators are just semiconductors with a large energy gap, so heating still frees carriers and lowers their resistance.
🧠 NTA loves the 'semiconductors only' distractor. The complete answer always pairs insulators WITH semiconductors, because both have a gap that heat can push electrons across.

Real NEET questions

NEET 2020

The solids which have the negative temperature coefficient of resistance are:

A · Semiconductors only
B · Insulators and semiconductors
C · Metals
D · Insulators only
Solution: Step 1: A negative temperature coefficient means resistance decreases as temperature increases. Step 2: In metals the free-carrier count is fixed; heating only increases lattice scattering, so R rises (positive coefficient) - eliminate 'Metals'. Step 3: In semiconductors and insulators, heating pushes electrons across the energy gap and creates more electron-hole pairs, so the number of carriers rises sharply and R falls. Step 4: Insulators are semiconductors with a large gap, so they also show this fall. Therefore both insulators and semiconductors qualify. Answer: (2) Insulators and semiconductors.

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Frequently asked

Which materials have a negative temperature coefficient of resistance?

Semiconductors and insulators. Their resistance decreases as temperature rises because heat frees more charge carriers across the energy gap.

Do metals have a negative or positive temperature coefficient?

Metals have a POSITIVE coefficient. Their resistance increases with temperature because the fixed free electrons are scattered more by the hotter, vibrating lattice.

What is NTC in short?

NTC stands for Negative Temperature Coefficient. It describes a material whose resistance drops when it is heated. Semiconductors like silicon and germanium are common NTC materials.

Is an NTC thermistor a semiconductor?

Yes. NTC thermistors are made from semiconductor materials so their resistance falls smoothly with temperature, which lets them work as temperature sensors.