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Question: Answered & Verified by Expert
A long rigid wire lies along the X- axis and carries a current of 10 A in the positive X- direction. Round the wire, the external magnetic field is B=i^+2x2j^ with x in meters and B in Tesla. The magnetic force (in SI units) on the segment of the wire between x=1 m and x=m is
PhysicsMagnetic Effects of CurrentNEET
Options:
  • A 1260 
  • B 12803
  • C 1310
  • D 420
Solution:
1572 Upvotes Verified Answer
The correct answer is: 420
dF=Idl×B

F=Idxi^×i^+2x2j^

=10 x=1x=42x2 dx k^

=20x33x=1x=4=20343-13=420 N

dF=I(dl×B)

F=I(dxi^)×(i^+2x2j^)

=10x=1x=42x2dxk^

=20[x33]x=1x=4=203[43-13]=420N

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