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Electromagnetic Induction

Question
CBSEENPH12039696

Two concentric coils each of radius equal to 2π cm are placed at right angles to each other. 3 Ampere and 4 ampere are the currents flowing in each coil respectively. The magnetic induction in Weber/m2 at the centre of the coils will be (µ0 = 4π × 10−7 Wb/A-m)

  • 12 × 10−5

  • 10−5

  • 5 × 10−5

  • 7 × 10−5

Solution

C.

5 × 10−5

straight B space equals space fraction numerator straight mu subscript straight o over denominator 2 straight r end fraction square root of straight I subscript 1 superscript 2 plus straight I subscript 2 superscript 2 end root
straight B space equals space fraction numerator 4 straight pi space straight x space 10 to the power of negative 7 end exponent over denominator 2 space straight x space 2 straight pi space straight x space 10 to the power of negative 2 end exponent end fraction space straight x 5
straight B space equals space 5 space straight x space 10 to the power of negative 5 end exponent