For the Hartley oscillator in Figure 15.21, assume (r_{pi} ightarrow infty) and let (g_{m}=30 mathrm{~mA} /)

For the Hartley oscillator in Figure 15.21, assume \(r_{\pi} \rightarrow \infty\) and let \(g_{m}=30 \mathrm{~mA} /\) V.

(a) Derive the expression for the frequency of oscillation.

(b) Show that the condition for oscillation is given by \(g_{m} R=L_{1} / L_{2}\).

(c) Design the circuit to oscillate at \(f_{o}=750 \mathrm{kHz}\) for \(L_{1}=L_{2}=50 \mu \mathrm{H}\).

Transcribed Image Text:

ww R L2 Figure 15.21 C HH L