What is the direction of current in relation to the uniform magnetic field B?

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The discussion centers on determining the direction of current flow across a resistor in a uniform magnetic field. Participants analyze the situation using Lenz's Law and the right-hand rule to establish the current's direction. The consensus leans towards the conclusion that the current should flow from left to right based on the application of these principles. There is some uncertainty about whether a current would flow at all in certain scenarios. Overall, the analysis suggests that the current direction is predominantly left to right according to the discussed laws.
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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

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
 
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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
 

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