Problem Solving
Oscillator
J1
BF256B
OUT
BAT1
4.5 V
L
15 nH
C2 = ?
C1 = ?
R = ?
$Y_1 = jC_1\omega$
$Y_2 = jC_2\omega$
$Y_3 = \frac{1}{R+j\omega L}$
a) Design an oscillator that operates at a frequency of 200 MHz with the
following specifications:
Inductance: 15 nH
Q factor: 50,
Transistor transconductance with $g_m = 20$ mS
$R_o = 1/G_o = 100 \Omega$.
$g_m = 0.020$
$G_o = \frac{1}{100} = 0.01$
b) For 10% tolerance in inductor, determine the lowest value required for the Q
factor of inductor.
$|2 -4| = 2(3) - (-5)(1-9)$