Direction of current?

[Physics197]

Homework Statement

Indicate the current flow across the resistor R. Note that B is uniform over the entire region where it is shown. Choose from the following answers:

1. Current will flow from right to left.
2. Current will flow from left to right.
3. No current will flow.

http://j.imagehost.org/view/0639/Untitled [Broken]

Homework Equations

Lenz Law / Right hand rules

The Attempt at a Solution

case 1: left to right? thumb in direction of B and curl fingers in I
case 2: Left to right? same as above, but extra RHR to determine direction of B.
case 3: not sur, would it even induce a current?
case 4:left to right - Lenz law

 

[Physics197]

Shouldn't the direction for all of these be left to right?

I tried using Lenz Law on all of the above cases andd that's what I got