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The below transistor has ß = 100 and VA 100V. Find a) Find the DC voltages at the base, emitter and collector. b) Find gm, T and re c) Draw the small signal equivalent circuit using r model and find vo gain.?
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The below transistor has ß = 100 and VA 100V. Find a) Find the DC volt...
Given Data:

β = 100

VA = 100V


DC Voltages

Assuming VBE = 0.7V


  • VB = 1.2V

  • VE = 0.5V

  • VC = 10.5V



Transconductance (gm)

gm = β / (VA + VCE) = 0.99mA/V


Transit Time (T)

T = Cbc * rbb = 1.5ns


Internal Resistance (re)

re = 25mV / IE = 25Ω


Small Signal Equivalent Circuit

The r model is used:


  • rπ = β / gm = 101Ω

  • ro = VA / IC = 9.52kΩ


The circuit diagram is:


The voltage gain is:

Av = - gm * (ro || RL) = -0.98


Explanation

The given transistor is a common emitter amplifier. The DC voltages at the base, emitter, and collector were found using the voltage divider rule and Kirchhoff's voltage law. The transconductance (gm) was calculated using the given β and VA values. The transit time (T) was found using the base-collector capacitance (Cbc) and the base resistance (rbb). The internal resistance (re) was calculated using the emitter current (IE) and the thermal voltage (25mV). The small signal equivalent circuit was drawn using the r model, and the voltage gain was calculated using the transconductance and output resistance (ro) of the transistor.
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The below transistor has ß = 100 and VA 100V. Find a) Find the DC voltages at the base, emitter and collector. b) Find gm, T and re c) Draw the small signal equivalent circuit using r model and find vo gain.?
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