A coil of N turns is placed in a magnetic field B such that B is perpendicular to the…

Physics · Class 12 · CBSEElectromagnetic Induction

A coil of \(N\) turns is placed in a magnetic field \(\vec{B}\) such that \(\vec{B}\) is perpendicular to the plane of the coil. \(\vec{{B}}\) changes with time as \(B=B_{0} \cos \left(\frac{2 \pi}{T} t\right)\) where \(T\) is time period. The magnitude of emf induced in the coil will be maximum at
(Here, \({n}=1,2,3,4, \ldots\) )

  1. \({t}=\frac{{nT}}{8}\)
  2. \(t=\frac{{nT}}{4}\)
  3. \({t}=\frac{{nT}}{2}\)
  4. \(t=\frac{(2 n-1) T}{4}\)

Answer

(D) t= (2 n-1) T 4

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