For a triode with plate characteristics given by Fig. 7-8, find (a) the perveance \kappa and (b) the amplification factor μ.
(a) The perveance can be evaluated at any point on the v_G = 0 curve. Choosing the point with coordinates i_P = 15 \text{mA} and v_P = 100 \text{V}, we have, from (4.9),
i_{P} = \kappa(v_{P} + \mu v_{G})^{3/2} (4.9)
\kappa = {\frac{i_{P}}{v_{P}^{3/2}}} = {\frac{15 \times 10^{-3}}{100^{3/2}}} = 15\,\mu\mathrm{A}/\mathrm{V}^{3/2}
(b) The amplification factor is most easily evaluated along the v_P axis. From (4.9), for the point i_P = 0, v_P = 100 \text{V}, v_G = -4 \text{V}, we obtain
\mu = -{\frac{v_{p}}{v_{G}}} = -{\frac{100}{-4}} = 25