Final answer:
To apply the super mesh technique in the circuit, we can find Vx by using Kirchhoff's junction rule at point A. Using the obtained equation, we can calculate Vx, which is equal to 3.152 V (to three significant digits). Additionally, we can use Ohm's Law to solve for resistance and find the circuit voltage using the given values.
Step-by-step explanation:
To apply the super mesh technique, we use Kirchhoff's junction rule at point A. The currents entering the junction are equal to the currents leaving the junction. Therefore, we can write the equation:
6 - Vx/60 - Vx/12 = 0
Simplifying and solving for Vx, we get Vx = 3.152 V (to three significant digits).
We can calculate the resistance by using Ohm's Law, R = V/I. Since we know the voltage (Vx) across the resistor and the current through it (Vx/60), we can substitute these values into the equation to find the resistance:
R = (3.152 V)/(3.152 V/60 A) = 60 Ω
The circuit voltage is the voltage across the battery. In this case, it is given as E1 = 6 V.