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Home / Doubts and Solutions/NEET/Magnetic Effect Of Current And Magnetism

EXPLAIN THOROUGHLY.

Asked by Arushi Juyal 13th December 2017, 7:09 AM
Answered by Expert
Answer:
Let magnetic field Vector    begin mathsize 12px style B with rightwards arrow on top space equals space a i with overbrace on top space plus space b j with overbrace on top space plus space c k with overbrace on top end style
Force begin mathsize 12px style F with rightwards arrow on top equals space minus e open parentheses v with rightwards arrow on top cross times B with rightwards arrow on top close parentheses end style
First case:-   begin mathsize 12px style stack v subscript 1 with rightwards arrow on top space equals space 1 i with overbrace on top end style
begin mathsize 12px style negative e left parenthesis v with rightwards arrow on top cross times B with rightwards arrow on top right parenthesis space equals left parenthesis negative e right parenthesis space open vertical bar table row cell table row i j k row 1 0 0 row a b c end table end cell end table close vertical bar equals space left parenthesis negative e right parenthesis space left parenthesis negative c j with hat on top space plus space b k with hat on top right parenthesis space equals space minus e j with hat on top h e n c e space c space equals space minus 1 space a n d space b equals 0 end style
 
Second case :- begin mathsize 12px style stack V subscript 2 with rightwards arrow on top space equals space open parentheses 1 i with hat on top space plus space 1 j with hat on top close parentheses end style
begin mathsize 12px style negative e open parentheses v with rightwards arrow on top cross times B with rightwards arrow on top close parentheses space equals space minus e open vertical bar table row cell table row cell table row i j k row 1 1 0 row a 0 cell negative 1 end cell end table end cell end table end cell end table close vertical bar space equals space left parenthesis negative e right parenthesis left parenthesis negative 1 i with hat on top space plus j with hat on top space minus a k with hat on top right parenthesis space equals space e left parenthesis i with hat on top space minus j with hat on top space plus a k with hat on top space right parenthesis space equals space e left parenthesis i with hat on top space minus j with hat on top space right parenthesis h e n c e space a space equals space 0 semicolon space space B space equals space minus k with hat on top end style
 
now begin mathsize 12px style stack v subscript 3 with rightwards arrow on top space equals space stack v subscript 1 with rightwards arrow on top space cross times stack v subscript 2 with rightwards arrow on top space equals space open vertical bar table row cell table row i j k row 1 0 0 row 1 1 0 end table end cell end table close vertical bar space equals space k with hat on top end style
since velocity and magnetic field both are in z direction, force is zero
Answered by Expert 13th December 2017, 4:37 PM
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