(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine I_0 in the network.

2. Relevant equations

P = VI

Passive Sign Convention Rule

3. The attempt at a solution

Here's what I did. I calculated the power absorbed/supplied by the bottom left network.

Element 3: P = VI = (6V)(I_0 A) = 6I_0 W

Element 5: P = VI = (6V)(4A) = 24 W

Element 6: P = VI = (8V)(6A) = 48 W

V-Dependent Source: P = VI = (4 * 2 A)(-6A) = -48 W (I did this because of the passive sign convention.

6I_0 + 24 + 48 - 48 = 0

I_0 = (-24) / 6

I_0 = -4 A

It says something is wrong, but I'm not sure why. I'm 99% sure I followed the rules for PSC. I've attached an image of the circuit. I've done it only using this loop, but also, if you check down below, I've done it for every element (I get differing answers).

Thanks

(Circuit picture taken from WileyPLUS homework, please do not redistribute/copy).

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If I had to calculate each element, in the WHOLE entire network, would this work be correct:

E1: 64W

E2: 60W

E3: I_0 * 6 W

Independent 24V Source: -192W

E4: 32W

E5: 24W

E6: 48W

Dependent 4I_x V Source: -48W

so... (Im going to leave out the W unit in the equation for now, so it doesn't confuse anyone)

64 + 60 + 6I_0 + (-192) + 32 + 24 + 48 - 48 = 0

6I_0 + (-12) = 0

6I_0 = 12

I_0 = 2A

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# Simple Power in a Circuit Problem

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