A triod has plate characteristies in the from of purallet lines in the region of our interest At a given in terms of platevoltage V (in volts ) by the algebraic relation `1 = 0.125V - 7.5` for grid of - 3 volts is 5 millanpers , determine the plate resistance of(r_(p)) transcondutance (g)and the arrplfication facter (u) for the trid
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`1= 0.125V - 7.5` rArr dl = 0.125dV or (dV)/(dl) = (1)/(0.125) = 8` we know that plate resistance, r_(p) = (dV)/(dl) = 8m Omega` The transconductance, `g_(m)= [(dl)/(dV_(g))]_(V= conslt)` `At V_(g) = -1 volt , V = 300 volt,` the plate current l = [0.125 xx 300 - 7.5 ] mA = 30 mA` Also is given that ` V_(g) = - 3V , V = 300V and l = 5 mA` `:. g_(m) = [(30 - 5)/(- 1 -(1 -3))] = (25)/(2) xx 10^(-3) = 12.5 xx 10^(-3) s ` The characteristics are given in the from of purallel lines Amplification factor `= r_(p)g_(m) = 8 xx 10^(3) xx 12.5 xx 10^(-3) = 100`
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