The Claim to Verify
"An n-type semiconductor has electrons as majority carriers, yet it is electrically neutral."
Step-by-Step Reasoning
Step 1: Start with pure silicon
- Silicon atom: 14 protons (+14), 14 electrons (−14) → net charge = 0
- Silicon crystal: enormous number of Si atoms, each electrically neutral → bulk is neutral ✓
Step 2: Add a phosphorus dopant atom (pentavalent)
- Phosphorus atom: 15 protons (+15), 15 electrons (−15) → net charge = 0 per P atom
- The P atom replaces one Si atom in the lattice
- Net charge contributed by P atom to the crystal = 0 (15 protons and 15 electrons come in together)
Step 3: What happens to the extra electron?
- P has 5 valence electrons; Si lattice needs only 4 to complete covalent bonds
- The 5th electron of P is loosely bound → becomes a free conduction electron
- BUT: This electron came WITH the phosphorus atom, which also brought its +15 nucleus
- The P nucleus has +15 protons while (after donating electron) has +15 −14 = net +1 ionic charge
- The donated electron (charge −1) exactly cancels the ion charge (+1)
Step 4: Count the charges in n-type silicon
- Original Si atoms: charge = 0 each
- P dopant atoms: contribute +1 ( ion) + (−1) (free electron) = 0 net charge
- Total crystal charge = 0 → ELECTRICALLY NEUTRAL ✓
Step 5: Why the confusion arises
- Students focus only on the free electrons (negative) without accounting for the corresponding positive donor ions () that remain fixed in the lattice
- The free electrons move (they're mobile), but the ions stay fixed in the crystal lattice
- The material has "extra" mobile electrons, but these were already "paid for" by the +1 ionic charge of each dopant ion
Conclusion
"n-type" describes the TYPE of MAJORITY CARRIER, not the SIGN of NET CHARGE. The crystal always maintains electrical neutrality because every doping event introduces equal and opposite charges simultaneously.
NEET answer: When asked "Is n-type semiconductor electrically charged?", the answer is: No, it is electrically neutral. The correct option in NEET MCQs will always be "electrically neutral" regardless of how the trap is worded.