An LC tank circuit

2. Calculate the resonant frequency of the LC tank in Figure 1 (a) with L = 100 H and C = 100 pF.
Verify your calculation with LTspice simulations. You should do an AC sweep around f0, and also a
transient run to observe the natural response. Suggestion: use the FFT to verify the frequency of the
oscillations. Calculate the Q of the circuit from the AC simulation. Note that the resonant frequency
and the bandwidth can both be in Hz or both be in rad/s, as long as they are in the same units.
3. Build the tank circuit in the lab using the variable capacitor. Use a large resistor in series with the
function generator to mimic a current source. Observe the resonant frequency and the Q of the circuit.
There is more detail on testing the LC tank in the appendix to this lab. Note that it is the total current
you need to observe, using the voltage across the resistor as the output.
One issue to be aware of is the capacitance of the scope probe. The 10x probe will have a smaller
capacitance than the 1x probe. (Don’t worry about this if using the AD2).
4. Find the maximum and minimum resonant frequencies achievable with this LC tank. The AM radio
band is 530 – 1700 kHz. Can you tune your circuit over this entire range? Note that when you attempt
to make measurements around 1 MHz or higher, it becomes important to keep the wires in the circuit
as short as possible to avoid picking up noise.
In your report, include calculations, simulations, test results, and discussion as in the previous
labs. In particular, discuss the issues and limitations in building and measuring the tank circuit such as
the effect of the probe capacitance, the resistance in the circuit, and any other problems you

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