Hall Effect: Electric Field Direction at Equilibrium

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I have a good understanding on the hall effect. However, I was told by my tutor that the electric field direction at equilibrium remains pointing in the negative side of the conducting material and the force it generated is canceled out. But further reading online text, the electric field doesn't even exist and the direction at equilibrium is negligible or non-existence. My qns is who is right here and is there even a direction the electric field is pointing at equilibrium??
 
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