Purpose
In this lab there would be two different circuit analysis called the Branch Current Analysis and Mesh Analysis (General and Format) to help solve for the unknowns in a given circuit. When completely done with both analysis within the lab in your own opinion explain why Branch or Mesh analysis was the best way to solve the circuit.
Theory
When working with circuits there has been plenty of ways to find the unknowns within a circuit like Ohm’s Law, KVLs etc. Now with the help of the old methods, they are combined with three new theorems that also can help find the unknowns in a much faster way. These three theorems are called Branch Circuit Analysis, Mesh General, and Mesh Format.
Branch Current Analysis One of the three theorems is called Branch Current Analysis (also…show more content… Identify and draw the loops for the circuit Number each loop Now put the polarities on each resistor according to the direction of the loop. First go around collect all the resistors that are in the inside loop, next go around and collect the resistor(s) that are outside the loop. Write the KVL equations, then put it in order (I_2+I_1-I_3 〖→I〗_1+I_2- I_3) Put equations into calculator (refer to step 6 in BCA) After finding unknown current, based on the polarities on both sides of the shared resistor add or subtract the currents associated with the correct loop. The answer from the remaining currents is the answer used to find the voltage for the resistor(s). CHECK WORK. USE KVLS AND KCLS.
Mesh Format Just as in Mesh General, the same rules apply to Mesh Format. But with Mesh Format there would be no arrows or polarities showing where one walked within the circuit. The purpose of this is for the person solving the circuit they should already know what walk they are going to take without writing any loops or currents. For example, take a look at the same circuit that was previously done in Mesh General now take your walk:
