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Moving Charges And Magnetism

Question
CBSEENPH12039723

A current I ampere flows along an infinitely long straight thin-walled tube, then the magnetic induction at any point inside the tube is

  • infinite

  • zero

  • fraction numerator straight mu subscript 0 over denominator 4 straight pi end fraction fraction numerator 2 straight i over denominator straight r end fraction space tesla
  • fraction numerator 2 space straight i over denominator straight r end fraction space Tesla

Solution

B.

zero

Let R be the radius of a long thin cylindrical shell. To calculate the magnetic induction at a distance r (r < R) from the axis of cylinder, a circular shell of radius r is shown:

Since no current is enclosed in the circle so, from Ampere's circuital law, magnetic induction is zero at every point of the circle. Hence, the magnetic induction at any point inside the infinitely long straight thin-walled tube (cylindrical) is zero.