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Current Electricity

Question
CBSEENPH12039962

A square loop, carrying a steady current I, is placed in a horizontal plane near a long straight conductor carrying a steady current I1 at a distance d from the conductor as shown in the figure. The loop will experience

  • a net repulsive force away from the conductor

  • a net torque acting upward perpendicular to the horizontal plane

  • a net torque acting downward normal to the horizontal plane

  • a net attractive force towards the conductor

Solution

D.

a net attractive force towards the conductor


straight F subscript 2 space equals space minus straight F subscript 4

straight F subscript 1 space equals negative straight F subscript 4

straight F subscript 1 space equals space fraction numerator straight mu subscript straight o straight I subscript 1 straight I l over denominator 2 πd end fraction

straight F subscript 1 space equals space fraction numerator straight mu subscript straight o straight I subscript 1 straight I l over denominator 2 straight pi left parenthesis straight d plus straight I right parenthesis end fraction

straight F subscript 1 space greater than space straight F subscript 3

straight F subscript net space equals space straight F subscript 1 space minus straight F subscript 3

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