A horizontal rod (orientedin the east-west direction) is moved northward atconst

Question

A horizontal rod (orientedin the east-west direction) is moved northward atconstant

velocity through amagnetic field that points straight down. Which statement istrue?

a) The west end of the rodis at higher potential than the east end.

b) The east end of the rodis at higher potential than the west end.

c) The top surface of therod is at higher potential than the bottom surface.

Determine the bestanswer and explain your choice by invoking the

appropriate concept, principle,and/or mathematical relation.

Explanation / Answer

   a)The west end of the rod is at higher potential than the eastend.    When the rod moves with velocity v, amagnetic field B, its free electrons experience a force givenby    F   =   B* e * v * sin    Now the direction of this force is governedby left hand rule ( stretch right hand such that fingersand thumb are perpendicular to each other then if thumb is indirection of motion of electrons, fingers are in direction ofmagnetic field, the normal to palm will point in the direction offorce experienced by electrons).    According to this rule electronswill accumulate at the eastern end of rod reducing thepotential at that end. Hence    (a) is correct answer.

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