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explain.

Asked by Arushi Juyal 13th December 2017, 7:14 AM
Answered by Expert
Answer:
As per the current flowing direction in the loop shown in figure, magnetic field at center is -z direction.
 
unit vector along the projected velocity direction is begin mathsize 12px style fraction numerator i with overbrace on top over denominator square root of 2 end fraction minus fraction numerator j with overbrace on top over denominator square root of 2 end fraction end style
unit vector in the begin mathsize 12px style v with rightwards arrow on top cross times B with rightwards arrow on top end style force direction = begin mathsize 12px style open vertical bar table row cell i with hat on top end cell cell j with hat on top end cell cell k with hat on top end cell row cell fraction numerator 1 over denominator square root of 2 end fraction end cell cell negative fraction numerator 1 over denominator square root of 2 end fraction end cell 0 row 0 0 cell negative 1 end cell end table close vertical bar equals space open parentheses fraction numerator 1 over denominator square root of 2 end fraction close parentheses i with overbrace on top plus space space open parentheses fraction numerator 1 over denominator square root of 2 end fraction close parentheses j with overbrace on top end style
since electron has negative charge, unit vector along the  begin mathsize 12px style negative e v with rightwards arrow on top cross times B with rightwards arrow on top end style force direction is    begin mathsize 12px style negative fraction numerator i with overbrace on top plus j with overbrace on top over denominator square root of 2 end fraction end style
 

Answered by Expert 14th December 2017, 11:31 AM
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