Analog Electronics
An npn BJT has gm=38mA/v, cµ =10¯14 F, cπ =10¯13F and DC current gain β0=90.For this transistor fT & fβ are

fT =1.47 x 1010 Hz & fβ = 1.64 x 108 Hz
fT =1.47 x 1010 Hz & fβ = 1.33 x 1012 Hz
fT =1.33 x 1012 Hz & fβ = 1.47 x 1010 Hz
fT =1.64 x 108 Hz & fβ = 1.47 x 1010 Hz

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Analog Electronics
For transistor action

  all of these.
  the base region must be very thin and lightly doped.
  the emitter should be heavily doped.
  Je must be forward biased and Jc should be reverse biased.

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Analog Electronics
In an OP-amp differentiator

The amplitude of output is proportional to rate of change of input
Output occurs when input is finite and constant
Polarity of input and output is the same
The amplitude of output is proportional to input

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