It wants to solve for ia. Known fact: ia + ib = 4ib ib = (1/3)ia Based on how th

Question

It wants to solve for ia.

Known fact:

ia + ib = 4ib

ib = (1/3)ia

Based on how the circuit looks "to me", the 100 ohm is shared by the ib and ia circuit.

So I do KVL@ib:

100(ia - ib) + 200ia + 8 = 0

300ia - 100ib = -8

300ia - 100(1ia/3) = -8

ia = -.03 A = -30 mA

However, here's what chegged did:

Why wasn't the ia current included in the 100 ohm resistor?

Was it because the 100 ohm resistor was "defined" to have only the ib current flowing through it, so we dont include ia in it when we do KVL?

No need to solve it, it's already solved.

Just "explain" to me why the ia current wasnt used in the KVL loop around the 100 ohm resistor.

Thanks!

PS 1-Stars for TROLL POSTS!

Explanation / Answer

The answer is simple here! ia wasn't included as per question it is given that total current that passes through 100 ohm resistor is ib so no need to add ia again. I think this would solve your problem. :)

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