Answer:
To determine the current x in the given junction, you can apply Kirchhoff's current law, which states that the sum of currents entering a junction is equal to the sum of currents leaving the junction.
In this case, you have:
Total current entering = Total current leaving
(0.2 A + 0.4 A + 2 A) = (0.5 A + x)
Now, calculate the total current entering and leaving:
(2.6 A) = (0.5 A + x)
To solve for x, you can rearrange the equation:
x = 2.6 A - 0.5 A
x = 2.1 A
So, the current x is 2.1 A, which corresponds to option A.