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Homework 4 - Signal Generation

Problem 1.
Using a 20MHz crystal with a negative temperature coefficient of k = -8Hz / Mhz / deg C, determine the frequency of operation for temperature changes of (a) an increase of 10 deg C, (b) an increase of 20 deg C, (c) a decrease of 20 deg C.
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Problem 2.
For the Wien Bridge oscillator in the Figure 1, determine the frequency of oscillation provided the following specifications; R1 = R2 = 1k ohm, C1 = C2 = 100pF.
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Problem 3.
Given a Hartley oscillator in Figure 2, determine the frequency of oscillation provided the following characteristics; L1 = L2 = 50uH, C1 = 0.01uF.
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Problem 4.
The Colpitts oscillator in Figure 3 has the specifications of C1a = C1b = 0.01uF, and L1 = 100uH. Calculate the frequency of oscillation.
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Problem 5.
Determine the capacitance for a varactor diode with the following characteristics of C = 0.005uF, and Vr = -2V.
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Homework Solutions and Calculations

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Engineering key words: oscillators, Hartley, Colpitts, Wien-Bridge, RF signal generation, natural frequency, crystal, frequency, temperature, specs, variables, inductance, capacitance, impedance, diode, voltage change, component.


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