1. MOSFET manufacturing, features, V-I characteristics and operating equations (1 week) 2. MOSFET DC Biasing and circuits (1 week) 3. Small signal analysis and amplifier configurations (1week) 4. Frequency response of the CS amplifier (1 week) 5. MOS Differential amplifiers ( 2 weeks) 6. Operational amplifiers (2.5 weeks) 7. Feedback topologies ( 2 weeks) 8. Design of filters ( 1.5 weeks) 9. Types of oscillators, 555 timer circuits (2.5 weeks) 10. Power amplifiers (1.5 weeks)

1. ● Over drive Voltage: 𝑉𝑂𝑉 = (𝑉𝐺𝑆 − 𝑉𝑡) ● 𝑘′
𝑛 = 𝜇 𝑛 𝐶 𝑜𝑥 (𝐴/𝑉2
)
● Cut off (𝑖 𝐷 = 0): 𝑣 𝐺𝑆 < 𝑉𝑡𝑛; ● Channel induced and Mosfet is in triode or saturation: 𝑣 𝐺𝑆 = 𝑣𝑡𝑛 + 𝑣 𝑂𝑉
Stats Triode region Saturation Region
Conditions
𝑣 𝐺𝐷 > 𝑉𝑡
𝑣 𝐷𝑆 < 𝑣 𝑂𝑉
𝑣 𝐺𝐷 ≤ 𝑉𝑡
𝑣 𝐷𝑆 ≥ 𝑣 𝑂𝑉
𝑖 𝐷 1
2
𝑘′
𝑛
𝑊
𝐿
(𝑣 𝑂𝑉 −
1
2
𝑣 𝐷𝑆)𝑣 𝐷𝑆
1
2
𝑘′
𝑛
𝑊
𝐿
𝑣 𝑂𝑉
2
● 𝑔 𝑚 =
𝑖 𝑑
𝑣 𝑔𝑠
= 𝑘′
𝑛
𝑊
𝐿
𝑉𝑂𝑉 = 𝑔 𝑚 = √2𝐾 𝑛
′
√ 𝐼 𝐷√(
𝑊
𝐿
) =
2𝐼 𝐷
𝑉 𝑂𝑉
(4.6.2,6), ● 𝑉𝐴 =
1
𝜆
, ● 𝑟𝑜 =
|𝑉 𝐴|
𝐼 𝐷
, ● 𝐴 𝑣 = −𝑔 𝑚(𝑅 𝐷||𝑟𝑜),
Characteristic Parameters
MOSFET Voltage Gain, 𝐴 𝑣 𝐺 𝑣
Input
Resistance,𝑅𝑖
Output
Resistance,𝑅 𝑜
Common Source
(Hybrid model)
−𝑔 𝑚(𝑅 𝐷||𝑟𝑜||𝑅𝑙) −
𝑅 𝐺
𝑅 𝐺 + 𝑅 𝑠𝑖𝑔
𝑔 𝑚(𝑅 𝐷||𝑟𝑜||𝑅𝑙) ∞ 𝑅 𝐷||𝑟𝑜
Common Source with a
source resistance
(T-Model)
−𝑔 𝑚(𝑅 𝐷||𝑅𝑙)
1 + 𝑔 𝑚 𝑅 𝑠
−
𝑅 𝐺
𝑅 𝐺 + 𝑅 𝑠𝑖𝑔
𝑔 𝑚(𝑅 𝐷||𝑅𝑙)
1 + 𝑔 𝑚 𝑅 𝑠
∞ 𝑅 𝐷
Common Gate
(T-Model)
𝑔 𝑚(𝑅 𝐷||𝑅𝑙)
1
1 + 𝑔 𝑚 𝑅 𝑠𝑖𝑔
𝑔 𝑚(𝑅 𝐷||𝑅𝑙)
1
𝑔 𝑚
𝑅 𝐷
Common Drain
(T-Model)
𝑟𝑜||𝑅𝑙
(𝑟𝑜||𝑅𝑙) +
1
𝑔 𝑚
𝑅 𝐺
𝑅 𝐺 + 𝑅 𝑠𝑖𝑔
.
𝑟𝑜||𝑅𝑙
(𝑟𝑜||𝑅𝑙) +
1
𝑔 𝑚
∞
1
𝑔 𝑚
● 𝑓𝑡 =
𝑔 𝑚
2𝜋(𝐶 𝑔𝑠+𝐶 𝑔𝑑)
(Unity Gain Frequency) ● 𝑅 𝐿
′
= 𝑅 𝐷||𝑟𝑜||𝑅 𝐿 ● 𝐶𝑒𝑞 = 𝐶𝑔𝑑(1 + 𝑔 𝑚 𝑅 𝐿
′
) ● 𝐶𝑖𝑛 = 𝐶𝑔𝑠 + 𝐶𝑒𝑞,
● 𝑓𝐻 =
1
2𝜋𝐶 𝑖𝑛(𝑅 𝑠𝑖𝑔||𝑅 𝐺)
(Upper 3-dB freq.)
Differential and multi-stage amplifier
Let I be the total current in common mode voltage
●𝑣 𝐷1 = 𝑣 𝐷2 = 𝑉𝐷𝐷 −
𝐼
2
𝑅 𝐷, ● 𝑖 𝐷1 = 𝑖 𝐷2 =
𝐼
2
= 𝑘′
𝑛
𝑊
𝐿
𝑣 𝑂𝑉
2
The value of 𝑣𝑖𝑑 at which the entire bias current I is steered into Q1 is 𝑣𝑖𝑑𝑚𝑎𝑥 = 𝑣 𝐺𝑆1 + 𝑣𝑠 = √2𝑉𝑂𝑉
Output of differential pair taken single ended:
● Common-mode gain = |𝐴 𝐶𝑀| =
𝑅 𝐷
2𝑅 𝑠𝑠
, ● Differential gain = |𝐴 𝑑| =
1
2
𝑔 𝑚 𝑅 𝐷, ● CMMR=|
𝐴 𝑑
𝐴 𝐶𝑀
| = 𝑔 𝑚 𝑅 𝑠𝑠
Output of differential pair taken differentially:
● Common-mode gain = |𝐴 𝐶𝑀| = 0 , ● Differential gain = |𝐴 𝑑| = 𝑔 𝑚 𝑅 𝐷, ● CMMR=|
𝐴 𝑑
𝐴 𝐶𝑀
| = ∞
Mismatch effect (𝑔 𝑚 𝑎𝑛𝑑 𝑅 𝐷) :
●𝐴 𝐶𝑀 = −
∆𝑅 𝐷
2𝑅 𝑠𝑠
(Rd mismatch), ● CMMR=|
𝐴 𝑑
𝐴 𝐶𝑀
| = 2𝑔 𝑚 𝑅𝑠𝑠/(
∆𝑅 𝐷
𝑅 𝐷
),● 𝐴 𝐶𝑀 =
𝑅 𝐷
2𝑅 𝑠𝑠
∆𝑔 𝑚
𝑔 𝑚
( 𝑔 𝑚 𝑚𝑖𝑠𝑚𝑎𝑡𝑐ℎ), ● CMMR=|
𝐴 𝑑
𝐴 𝐶𝑀
| =
2𝑔 𝑚 𝑅 𝑠𝑠/(
∆𝑔 𝑚
𝑔 𝑚
)
Electronics II Formula Sheet by Haris H.

2. OP-AMP Configuration and their Outputs