Bandwidth and Signal Analysis

In an AC powered RLC circuit the power delivered to a resistor will be maximum at some resonant frequency. This property of RLC circuits allows people to tune into specific radio stations without picking up on other frequencies that are being broadcast simultaneously.

In this experiment our goal is to solve theoretically for the resonant frequency for a circuit of known elements, and compare with measured results. We will do this two times with different elements in the circuit for each trial.

To find the bandwidth experimentally we will adjust the frequency until we get a current reading Im/squrt 2

Trial 1

R = 10 ohm

C =  1 micoF

L = 2.2 mH

Bandwidth threshold is between 3393 +/- ~360 Hz

Percent error in bandwidth (1420-723)/723 *100 = 97%

Trial 2

R=100

C = 100 micro F

Percent error in Bandwidth (8070 - 7230)/7230*1100 = 11.6%

Conclusion: 

We were able to obtain experimental results that matched reasonably well to theoretical values.