Simple Kirchhoff Loop problem with inductor

[GPhab]

Homework Statement

Just refer to the figure. The part shown is a part of a big circuit which you and anybody else shouldn't worry about.

Homework Equations

The Attempt at a Solution

I considered the battery terminals to be at 10 and 0V respectively. So the farther end of the resistor should be at 5V. An inductor produces a back EMF, which means that along the direction of current, there is a voltage drop. Therefore, A will be at 5V. So V(a)-V(b)=0. Am I right? I would be grateful to anyone who can help me solve similar problems, especially the ones which involve capacitors too. When does the "voltage" drop and when does it rise?

 

[JoAuSc]

First, we need to decide which way the current's flowing, although for this problem it doesn't seem to make a difference. Let's say the current goes from right to left, point B to point A. As you go across the resistor, battery, and inductor, you'll have certain voltage drops or rises. I think you forgot about the voltage drop across the battery.

 

[GPhab]

I didn't