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Question

The doping concentration of n-p-n transistor are

i. 5 × 1018 / cm3
ii. 1017 / cm3
iii. 2 × 107 / cm3

Identify the regions in the above order i, ii and iii.

This question was previously asked in
UGC NET 2014 Paper 1 Question Paper (28-Dec-2014)
The correct answer is

E, B, C

 A bipolar transistor's three regions are doped in a strictly decreasing order — emitter heaviest, base intermediate, collector lightest — so the list as printed reads E, B, C, option 2.

RegionDopingReason
EmitterHeaviest, 1018–1019To inject carriers efficiently into the base
BaseIntermediate, ~1017Thin and lightly doped so few carriers recombine
CollectorLightestWide depletion region to withstand voltage

Why the emitter must be doped hardest. The emitter junction injects electrons into the base, but holes are simultaneously injected back from base into emitter, and that back-injection is wasted current. The ratio of the two is set by the doping ratio, giving the emitter injection efficiency

\(\gamma=\dfrac{I_{nE}}{I_{nE}+I_{pE}}\approx\dfrac{1}{1+\dfrac{N_{B}}{N_{E}}}\)

With \(N_{E}=5\times10^{18}\) and \(N_{B}=10^{17}\) the ratio is 50, so \(\gamma\approx0.98\). Doping the emitter more heavily raises \(\gamma\) and hence \(\alpha\), and since

\(\beta=\dfrac{\alpha}{1-\alpha}\)

a small gain in \(\alpha\) produces a large gain in \(\beta\).

Why the base is doped lightly and made thin. Injected electrons must cross the base without recombining. A light doping means few holes are available to recombine with them, and a thin base gives little time for it to happen; together these give a base transport factor close to unity.

Why the collector is lightest of all. The collector-base junction is reverse biased and must hold off the supply voltage. A lightly doped collector puts most of the depletion region on its own side, spreading the field over a greater width and so raising the breakdown voltage — which is why power transistors have very lightly doped collector regions.

A note on the printed figures. The third value, \(2\times10^{7}\) cm−3, is below the intrinsic carrier concentration of silicon (\(1.5\times10^{10}\)) and cannot describe a real collector; it is evidently a misprint for something like \(10^{15}\). The ordering it is meant to convey — smallest of the three — is unambiguous, and the answer is unaffected.

Hence, the regions in order are E, B, C.

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Similar Questions

  1. Match the following :

    List – I (Biasing of BJT)  List – II (Functions)
    a. E-B junction forward bias and C-B junction reverse biasi. Very low gain amplifier
    b. Both E-B and C-B junctions forward biasii. Saturation condition
    c. E-B junction reverse bias and C-B junction forward biasiii. High gain amplifier
    d. Both E-B and C-B junctions reverse biasiv. Cut-off condition

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  2. For the BJT to be biased in its linear or active operating region :

    (a) the base-emitter Junction must be forward biased
    (b) the base-collector Junction must be reverse biased
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    (d) the base-collector Junction must be forward biased

  3. Assertion (A) : Two P-N diodes connected back to back cannot be used as a transistor.

    Reason (R) : Fabrication of a transistor requires controlled doping of Emitter, base and collector regions.

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  4. Assertion (A) : Considering two p-n-p and n-p-n transistors of identical construction as far as shape, size and doping are concerned, the n-p-n transistor will have a better frequency response.

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Important Questions from Bipolar Junction Transistor

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