I'd like to apologize for not finishing yesterday, as my computer was not cooperating. Anyways, he we go:

Consider the following circuit. Using superposition determine a) the magnitude and b) the direction of the current going through (is it away from node a?). Dtermine the c) magnitude and d) direction of the current through (is it away from node b?). e) Find .

a) First, I will find the equivalent resitance, and then short each of the voltage supplies and determine the current separately.

away from node a.

Due to the other voltage source, we have

towards node a.

Therefore, the magnitude of the current going through . For b) it is directed towards a.

Next, this is where I get rather confused, and because of the ground location.. Let's say for a minute that the current goes through R1 and heads towards R2, what is stopping it from going through the ground rather than the resistor? Anyways, here is my attempt.

away from node b.

Due to the other voltage source, we have

away from b.

c) d) away from b.

e) I find this one very confusing too.