I need help finding the Thevenin Equivalent of the following circuit. Did I find the correct RTh? How do I deal with the 4A current? 4.55 Find the Thévenin equivalent with respect tothe terminals a,b for the circuit in Fig. P4.55.4 A10 N+VE =VabUgn= Voc (actual cisee,'t)60 V40 NbRyn=101/ 4010 xHO8.= 8+8=16IHow tedeal with 4A?ЧА162Shost circuit He cursengto

The Thevenin’s equivalent for any circuit is a series combination of a Thevenin’s voltage source and a Thevenin’s resistance. From the circuit shown in the question, the Thevenin’s voltage between terminal A and B is equal to the sum of voltage across 8Ω resistor and voltage across 40Ω resistor. The equivalent circuit with assumed mesh current is shown below: From the equivalent circuit, the mesh current I1 is 4A because the 4 A current source is connected to outer branch mesh 1. To calculate mesh current I2, apply mesh analysis in mesh 2:To calculate the Thevenin’s voltage between terminal A and B, apply KVL between terminal And B and use Ohm’s law: To calculate the Thevenin’s resistance between terminal A and B, short circuit the voltage source, open circuit the current source and then calculate the resistance between terminal A and B. The equivalent circuit for Thevenin’s resistance is shown below: From the above circuit, the 10Ω resistor is parallel with the 40Ω resistor and the parallel combination is in series with 8Ω resistor. Thus, the Thevenin’s resistance between terminal A and B is given by: Hence, the Thevenin’s circuit between terminal A and B is shown below: