ExamBro
ExamBro
AP EAMCET · PHYSICS · Magnetic Effects of Current

An infinitely long straight conductor is bent into shape as shown in figure. It carries a current \(I \mathrm{~A}\) and the radius of circular loop is \(r \mathrm{~m}\). The magnetic induction at the centre of the circular loop is

  1. A \(\frac{\mu_0 /(\pi-1)}{2 \pi r}\)
  2. B \(\frac{\mu_0 /(\pi+1)}{2 \pi r}\)
  3. C \(\frac{\mu_0 /(2 \pi-1)}{2 \pi r}\)
  4. D \(\frac{\mu_0 /(2 \pi+1)}{2 \pi r}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{\mu_0 /(\pi-1)}{2 \pi r}\)

Step-by-step Solution

Detailed explanation

The given situation is shown in the figure, Net magnetic field at \(O\), \(B=B\) due to straight wire \(P Q\) (upward) \(+B\) due to straight wire \(C D\) (upward) \(+B\) due to circular wire (downward)…