NODAL ANALYSIS

 

 

In this experiment we will be modeling a real life circuit. this will be done by using several batteries as the power sources, several resistors as the cable resistors, and other resistors as the loads. The modeling of the circuit will look as follows.

here Is a drawn picture

 

 

here is a table that lists the components used, the nominal value, and the measured value

 

since on the circuit that we built we know two voltages, only the other two voltages will be unknown. In order to solve such unknown voltages nodal analysis technique was used in order to obtain the theoretical values, Here is a picture of the calculations

 

 

 

The theoretical values of the currents going out of the batteries were calculated. here is a picture of such calculation

 

 

 

After these calculations were done, we then proceeded to measure the values on the circuit built on the breadboard. here is a table of the theoretical and measured values.

 

 

 

 

 

here are the calculations of the theoretical and actual values of the power delivered by the batteries.

 

 

 

In this next part of the experiment our v2 and v3 are required to be at 9 volts. an now we will find our voltage supplied by the batteries. Here is the calculations

 

 

After finding the voltage that we needed the batteries at we then found the current of each batery

 here is the calculation of the power supplied by each battery (power supply)

 we then proceeded to change our power supply to our new voltage. here are the measurements that were found in our new circuit.

 

In conclusion, the purpose of this experiment was o analyze the power of using nodal analysis. Also to compare a circuit and the theoretical calculations with that to real life circuit. Even though our measured values were pretty close to the theoretical values, we can see that in real life there is many other variants that will make the values of the theoretical and actual differ..