# Finding current through a resistor in a tricky circuit [closed]

What are the (a) size and (b) direction (up or down) of current i in Fig, where all resistances are 4.0 Ω and all batteries are ideal and have an emf of 10 V? (Hint: This can be answered using only mental calculation.)

I'm pretty sure KCL/KVL are not the right strategy here. There must exist a clever way to solve this.

My approach 1 : I've tried to find a loop which contains only batteries and the resistor in question, but it seems there is no such trivial loop. Stuck.

My approach 2 : I've simplified series parallel resistors where they give integer equivalent resistances. But the resultant circuit is still not that simple. Stuck. Appreciate any help. Thanks!

## closed as off-topic by John Rennie, Kyle Kanos, dmckee♦Apr 26 '18 at 16:25

This question appears to be off-topic. The users who voted to close gave this specific reason:

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• Please note that we don't answer homework or worked example type questions. Please see this Meta post on asking homework/exercise questions and this Meta post for "check my work" problems. – John Rennie Apr 26 '18 at 14:56
• @JohnRennie I'm not looking for the final answer. This is not really my homework, I'm just doing for fun :) – rsadhvika Apr 26 '18 at 14:58
• You might want first to consider the “outsidemost” loop, containing batteries and a single resistor, as your way in. – ZeroTheHero Apr 26 '18 at 14:59
• Why the downvote ? – rsadhvika Apr 26 '18 at 15:01
• it’s basically a homework question. – ZeroTheHero Apr 26 '18 at 15:04