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TS EAMCET · Physics · Electromagnetic Induction

An infinite long wire lying along the \(Y\)-axis, is carrying a current \(I\) as shown in the figure. The magnetic flux through a circular loop of radius \(R\) in the \(x y\)-plane is [assume, \(\mu_0=\) magnetic in free space permeability]

  1. A \(\frac{\mu_0 l}{2 \pi R}\)
  2. B \(\mu_0 / R\)
  3. C \(\frac{\mu_0 l}{\pi R^2}\)
  4. D None of these
Verified Solution

Answer & Solution

Correct Answer

(D) None of these

Step-by-step Solution

Detailed explanation

The magnetic field at point due to a current carrying straight conductor of infinite length is \(B=\frac{\mu_0 I}{2 \pi R}\) The magnetic flux through circular loop around conductor in \(x y\)-plane is \(\phi_B=B A=\frac{\mu_0 I}{2 \pi R} \times \pi R^2=\frac{\mu_0 I R}{2}\)
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