# For the circuit shown find the Thevenin’s equivalent circuit between terminals A and B

Here I began with Vth making mesh equations :

48-6I1-12(I1+I2)=0

12(I1+I2)+42+8I2=0

With which I get I1=4A & I2=-2A

Then I considered the open circuit part AB to use the 2 mesh currents there which is where I do not understand how to proceed.

For Rth also I am getting an error as well.

• I get Rth = 6.667 ohms. What did you get and what was the correct answer listed as? I get Vth(AB) = 32 volts. – Andy aka Dec 9 '18 at 18:07
• Rth given is 4ohms I got about 5.333 though and yeah Vth is correct can you explain how you got the Vth – The Idiot Dec 9 '18 at 18:11
• Yeah, sorry, my mistake Rth is 4 ohms. You don't really need to make mesh equations to solve this. – Andy aka Dec 9 '18 at 18:13
• Could you explain it – The Idiot Dec 9 '18 at 18:16

The impedance into the node marked with a red arrow is $$\\dfrac{1}{\frac{1}{12}+\frac{1}{6}}\$$ = 4 ohms.
And this is in series with another 4 ohms when you look at node B. That makes 8 ohms but, there is a resistor to node C$$\^1\$$ of 8 ohms. So the total impedance between B and A is: -
$$\\dfrac{1}{\frac{1}{8}+\frac{1}{8}}\$$ = 4 ohms.
$$\^1\$$ node C connects to node A when analysing impedances because voltage sources short to zero volts. Can you get the voltage next yourself?