Series resonance

we are going to find the relationship between frequency and voltage of each souse.

 and then we calculate that.

And now we change the values of the resistor and capacitor and we get this values for the experimental frequency and the rms current

Observations: 

The quality factor and the bandwidth depend on the resonance frequency  which means we have a purely resistive impedance. 

freeMat

Capacitor charging and discharging

we are going to identify values of resistors by applying the reason that there's always losses and we have to prevent those losses from affecting the circuit. 

we set the equipment and calculate that.

we got result below

we used 68k and 6.8k ohms because we dont have exact value resisters 

we build the circuit

Practical question:

solusion:
our result is good to get close the times that we were looking for. depending on specific value for the resistors, it is not a bit difficulty of obtaining. in our case it was really small.

Practical integrator

output waves 

Practical signal conditioning

we are going to design a circuit which can show conversion of temperature from degrees Fahrenheit to degrees Celsius.

We connected them to use the temperature sensor to run properly by 1C equals 10mV.

 degrees f to degrees c we calculated it.

This is the function transformed in therms of resistance and voltages where vf is the temperature in fahrenheit and vc is the temperature in Celsius. We calculate our resistances from a ratio of 4/5 so that means than R2 has to be 0.8 times smaller than R1.

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We used 8.2k ohms for R2 and 10K ohms for R1 since we cannot find exactly ratio mentioned before. 

Now we have to set up the following circuit and we found V is -0.4V 

we set up the circuit and this is what we did it. We later had to do a voltage divider because V is too small to support the system and we finally get Vc =24mV and Vc=76.2mV

here is the percentage error

a 1.33% error is not a bad solution. We successfully achieved the main objective. we did this well about op amps and LM35 and we know this is very useful in our life like temperature control and science experience.

LAB 6 Operational Amplifiers

we got 968 and 88 om resistances fir Rx and Ry

in our group we got 85% error% which is not good at all. 

Lab 5 Thevenin Equivalents

Engineering （Extra credit）

Lab 3 nodal analysis