# Lab 5 RS

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## Design a

## Design and construct a

- LC Resonance circuits

# The LC circuit

## Design a **parallel** LC resonant circuit with a resonant frequency between 50-200 kHz. use = 10 - 100 , R = 1k

I choose the following values for

and :So the resonance frequency is

And

## Construct the LC circuit using a non-polar capacitor

## Measure the Gain as a function of frequency. (25 pnts)

## Compare the measured and theoretical values of the resonance frequency ( ) (10 pnts)

Let's plot the data from table above:

And let's zoom the graph above at resonance frequency:

So the experimentally measured resonance frequency is:

And the predicted value of resonance frequency is:

The error is:

The error is small so I was lucky

## Question. What is the bandwidth of the above circuit? (5 pnts)

From the plot above we have

The bandwidth defined as the width from

to where the amplitude of signal drop down to .At this point

. Let's plot this line and calculate the bandwidth.

So the bandwidth of the above circuit is

# The RLC cicuit

## Design and construct a **series** LRC circuit

## Measure and Graph the Gain as a function of the oscillating input voltage frequency. (25 pnts)

- In the table below are my measurements for voltage gain and phase shift:

- And let's graph the gain as a function of the input voltage frequency:

## Measure and Graph the Phase Shift as a function of the oscillating input voltage frequency. (25 pnts)

- My phase shift measurements presented in the table above. And let's graph the phase shift as a function of the input voltage frequency:

## Questions

### What is the current at resonance? (5 pnts)

### What is the current as ? (5 pnts)