Verified Solution • 2025–26 Session moderate

QNEET-2021-Ph-653: NEET 2021 Physics - Class 12 NEET-2021-Ph-653 Solution: Two conducting circular loops of radii \(R_1\) and \(R_2\) are…

Two conducting circular loops of radii R1R_1 and R2R_2 are placed in the same plane with their centres coinciding. If R1≫R2R_1 \gg R_2 the mutual inductance M between them will be directly proportional to: R1/R22R_1/R_2^2 R2/R1R_2/R_1 R1/R2R_1/R_2 R22/R1R_2^2/R_1

Multiple Choice Options

  • A R22R1{{R_2^2} \over {{R_1}}} R 1 _ R 2 2 _ _
  • B R1R2{{{R_1}} \over {{R_2}}} R 2 _ R 1 _ _
  • C R2R1{{{R_2}} \over {{R_1}}} R 1 _ R 2 _ _
  • D R12R2{{R_1^2} \over {{R_2}}} R 2 _ R 1 2 _ _

Step-by-Step Verified Solution

Two concentric coils are of radius R 1 and R 2 as shown Let current in outer loop be i Magnetic field at center = B = _ 0 i 2 R 1 Magnetic flux through inner coil = B _ � R 2 2 _ _ = _ 0 i 2 R 1 _ � R 2 2 As per definition, _ = Mi _ M = ( _ 0 � 2 ) R 2 2 R 1 _ M _ R 2 2 R 1

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