I'm currently studying electronics for the first time. The objetive of this exercise is to calculate the current I and the dissipated power in the dependent source. However, I'm having a hard time because I believe this circuit to be a current divider, but the solution states two values (I=2A and P=560W) that are incompatible with my interpretation. I am aware of how basic this question is, but I've searched everywhere for an answer with no sucess.
An easy way is to realize that both resistors are across the same voltage since their ends are directly connected. If 70 Ohm is 5 times 14 Ohm, then the current through the smaller resistor is 5 times I. The total current, 16A, consists of 5I + 2I + I = 8I, which means I = 16A / 8 = 2A.
Now the voltage dropped across the larger resistor is U = I times 70 Ohm = 140 V. The power dissipation is then P = 140 V times 2 times 2A, thus 560 W.