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AP EAMCET · PHYSICS · Magnetic Effects of Current

A coil wrapped around toroid has inner radius of \(20 \mathrm{~cm}\) and an outer radius of \(25 \mathrm{~cm}\). If the wire wrapping makes 800 turns and carries a current of \(12 \mathrm{~A}\). The maximum and minimum values of the magnetic field with in the toroid are

  1. A \(9.6 \mathrm{mT}, 7.68 \mathrm{mT}\)
  2. B \(4 \mathrm{mT}, 2.5 \mathrm{mT}\)
  3. C \(7 \mathrm{mT}, 5.6 \mathrm{mT}\)
  4. D \(6.6 \mathrm{mT}, 3.3 \mathrm{mT}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(9.6 \mathrm{mT}, 7.68 \mathrm{mT}\)

Step-by-step Solution

Detailed explanation

Given, inner radius, \(r_1=20 \mathrm{~cm}=0.2 \mathrm{~m}\) Outer radius, \(r_2=25 \mathrm{~cm}=0.25 \mathrm{~m}\) Number of turns, \(N=800\) Current in the toroid, \(I=12 \mathrm{~A}\) Magnetic field due to \(N\) circular rings (toroid), \[ B=\frac{\mu \cdot N I}{2 \pi r} \]…