# Please Solve this using Mesh Analysis a Ri R2 GVY Vx R3 R4 Given: 1. The values of v, R1, R2, R3, R4

Please Solve this using Mesh Analysis a Ri R2 GVY Vx R3 R4 Given: 1. The values of v, R1, R2, R3, R4, and G can be found in the parameter file for this problem Do: a) Use Mesh analysis to find the equivalent resistance, Reg, seen by the voltage source, Hints: 1. The four resistors and dependent current source on the left side of terminals a and b can be represented resistance, which we call the equivalent resistance, Req- We say that the equivalent resistance, Reg; in the one-port circuit is the total resistance that v “sees” at the terminals a and b. This will simplify circuit as shown below in the figure. our as a a Rea GVY + ww 2. To find Reg first solve for , using the circuit shown at the top of the page. When using Mesh analysis as stated in the problem, ir will be one of the Mesh currents. Then, because we are given which is the the voltage found i which is the current flowing through Req, We can use the equation Rea, and we across to solve for the equivalent resistance Rea dependent current source, two of the Mesh equations cannot be found directly. However 3. Because there is a form a Supermesh equation that encompasses the four resistors: R, R2, R3, and R4. you can wWr 4. After finding the Supermesh equation, you will need to form another equation in order to solve the system of linear equations for 3 unknowns. The current produced by the voltage-dependent current source will be equal to the difference between the two Mesh currents that you will declare yourself. This will be your third equation. It is recommended that you declare your Mesh currents clockwise. 5. The equation that was formed above in Hint 4 needs to be in terms of the Mesh currents in order to solve the system of linear equations. You will need to express v in terms of Mesh currents. This can be done by forming a KVL loop around either the top half or bottom half of the “diamond”

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