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.
Electronic – Current Divider with dependent source
basic
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Best Answer
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.