Question

In the circuit above, all impedances are in ohms. Evaluate the system equations using the mesh method, which will result in a matrix of the form [Z]∣I∣=∣V∣. The coefficient Z12=Z21 is −j3 True or False

Answer 1

The coefficient Z12=Z21 is -j3. False.

Step-by-step explanation:

The mesh method is a technique used to analyze electrical circuits. It involves creating mesh currents and using Kirchhoff's voltage law to write equations for each mesh. In the given circuit, if we use the mesh method, we can write the system equations as follows:

a. E1 + E2 + I1R1 - I2R2 + I1r1 - l2r2 + I1R5 = 0

b. E1 + E2 + I1R1 - I2R2 + l1r1 - l2r2 - I1R5 = 0

c. E1E2 - I1R1 + I2R2 - I1r1 + I2r2 - I1R5 = 0

d. E1 + E2 - I1R1 + I2R2 - I1r1 + I2r2 + I1R5 = 0

From the above equations, we can see that the coefficient Z12 = Z21 is not present in any of the options. Therefore, the statement is False.