Semiconductors formulas

Every formula JEE Advanced expects you to know for Semiconductors, with the variables spelled out. Free, no sign-up. Read it before a mock, not during one.

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Formulas: 30
Subject: Physics
Exam: JEE Advanced
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Semiconductors, every formula

30 formulas, typeset and free. Print it, or keep it open beside your practice.

Intrinsic carrier concentration
$n_{e} = n_{h} = n_{i}$
Mass-action law
$n_{e} n_{h} = n_{i}^{2}$
all types
p-type semiconductor
$n_{h} ≫ n_{e}$
trivalent doping
n-type semiconductor
$n_{e} ≫ n_{h}$
pentavalent doping
Total current
$i = i_{e} + i_{h}$
Conductivity
$σ = e (n_{e} μ_{e} + n_{h} μ_{h})$
n-type conductivity
$σ = e n_{e} μ_{e}$
p-type conductivity
$σ = e n_{h} μ_{h}$
Mobility
$μ = \frac{v _{d}}{E}$
Carrier generation
$n = A T^{3/2} e^{- E_{g} /2 k T}$
Dynamic resistance of a diode
$R = \frac{Δ V}{Δ I}$
Emitter current
$i_{e} = i_{b} + i_{c}$
CB dc current gain
$α = \frac{i _{c}}{i _{e}}$
0.95–0.99
CB ac current gain
$α_{a c} = \frac{Δ i _{c}}{Δ i _{e}}$
CE dc current gain
$β = \frac{i _{c}}{i _{b}}$
CE ac current gain
$β_{a c} = \frac{Δ i _{c}}{Δ i _{b}}$
β in terms of α
$β = \frac{α}{1 - α}$
α in terms of β
$α = \frac{β}{1 + β}$
Voltage gain (CE)
$A_{v} = β_{a c} \times resistance gain$
Power gain (CE)
$A_{p} = β_{a c}^{2} \times resistance gain$
Transconductance
$g_{m} = \frac{Δ i _{c}}{Δ V _{E B}} = \frac{A _{v}}{R _{L}}$
OR gate
$Y = A + B$
AND gate
$Y = A \cdot B$
NOT gate
$Y = \overset{ˉ}{A}$
NAND gate
$Y = \overline{A \cdot B}$
NOR gate
$Y = \overline{A + B}$
XOR gate
$Y = A \oplus B$
De Morgan's first theorem
$\overline{A + B} = \overset{ˉ}{A} \cdot \overset{ˉ}{B}$
De Morgan's second theorem
$\overline{A \cdot B} = \overset{ˉ}{A} + \overset{ˉ}{B}$
Absorption law
$A + A B = A$

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Semiconductors formulas

Semiconductors, every formula

Intrinsic carrier concentration

Mass-action law

p-type semiconductor

n-type semiconductor

Total current

Conductivity

n-type conductivity

p-type conductivity

Mobility

Carrier generation

Dynamic resistance of a diode

Emitter current

CB dc current gain

CB ac current gain

CE dc current gain

CE ac current gain

β in terms of α

α in terms of β

Voltage gain (CE)

Power gain (CE)

Transconductance

OR gate

AND gate

NOT gate

NAND gate

NOR gate

XOR gate

De Morgan's first theorem

De Morgan's second theorem

Absorption law

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