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CBSE Class 12-science Answered

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Asked by jain.pradeep | 02 Feb, 2020, 11:46: PM
answered-by-expert Expert Answer
Figure shows the cartesian coordinate system along with directions of earth.
 
X-axis in N-S direction and North is in the -ve x-direction.
 
Falling metal wire in E-W direction , i.e. along y-axis
 
Velocity vector begin mathsize 14px style bold italic v with rightwards arrow on top end styleof falling wire is given by,  begin mathsize 14px style bold italic v with rightwards arrow on top end style = - v begin mathsize 14px style bold italic k with hat on top end style
Earths Magnetic field begin mathsize 14px style bold italic B with rightwards arrow on top end style = -Bbegin mathsize 14px style bold italic i with hat on top end style
EMF induced in wire = ( v B L )
 
electrons in the wire are subjected to q(  begin mathsize 14px style bold italic v with rightwards arrow on top end style × begin mathsize 14px style bold italic B with rightwards arrow on top end style ) force .  Due to the -ve charge of electron, force is in the direction of -ve x-axis
Hence electrons accumlate in west giving -ve potential at west end of wire and +ve potential at east end .
 
hence direction of emf is east to west
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