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Moving Charges And Magnetism

Question
CBSEENPH12039612

A horizontal overhead power line is at a height of 4m from the ground and carries a current of 100 A from east to west. The magnetic field directly below it on the ground is (µ0 = 4π × 10-7 T m A-1)

  • 2.5 × 10-7 T southward

  • 5 × 10-6 T northward

  • 5 × 10-6 T southward

  • 2.5 × 10-7 northward 

Solution

C.

5 × 10-6 T southward

straight B space equals space fraction numerator straight mu subscript 0 space straight i over denominator 2 space πR end fraction space equals space fraction numerator 4 space straight pi space straight x space 10 to the power of negative 7 end exponent over denominator 2 space straight pi end fraction space straight x space 100 over 4
space equals space 5 space straight x space 10 to the power of 6 space straight T space southward