Verified Solution • 2025–26 Session moderate

QJEEAdv21Ph711f: JEE Advanced 2021 Physics - Class 12 JEEAdv21Ph711f Solution: When the dipole m is placed at a distance r from the center of…

When the dipole m is placed at a distance r from the center of the loop (as shown in the figure), the current induced in the loop will be proportional to

Multiple Choice Options

  • A m/r3
  • B m2/r2
  • C m/r2
  • D m2/r

Step-by-Step Verified Solution

ϕ=Li=μ0m2πr3×πa2\phi = Li = {{{\mu _0}m} \over {2\pi {r^3}}} \times \pi {a^2}

⇒i=μ0mπa22πr3L⇒i∝mr3\Rightarrow i = {{{\mu _0}m\pi {a^2}} \over {2\pi {r^3}L}} \Rightarrow i \propto {m \over {{r^3}}}

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