6/2 LRC Circuit

Using our kinematics formula for frequency, we found a relationship between impedance and current. We then used the derived relationship to find what our current would be if the frequency doubled. We found that the current doubled as well.

We measured the current and voltage of a circuit consisting of a resistor, frequency generator, and capacitor. The frequency generator was set at 10 Hz.

The above two graphs were measuring current and potential vs. time measured from 1000 Hz. 

We created a table with all the values at different frequencies. We calculated theoretical values and experimental values for both 10 Hz and 1 kHz. Our theoretical impedance compared to our experimental impedance ended up having a 834% error. We deduced that this large % error is due to the unknown resistance in the frequency generator. We then calculated the phase change on the bottom of our voltage and current graphs.

When our capacitive reactance and inductive reactance are the same, we have graphs that theoretically should line up perfectly.

We solved for the power dissipated in the circuit but since our resistor is the only part of the circuit dissipating power, we cannot use the formula V = IP. We had to use a new formula P = IR.

We repeated the experiment with an inductor included in the circuit.