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TS EAMCET · Physics · Electromagnetic Induction

A wire loop enclosing a semi-circle of radius Ris located on the boundary of a uniform magnetic field of induction B.At time t=0, the loop is set into rotation with velocity ω? about its axis 0, coinciding with a line of vector B on the boundary as shown in the figure. The emf induced in the loop is

  1. A BR22ω
  2. B BRω
  3. C BR2ω
  4. D BR22ω
Verified Solution

Answer & Solution

Correct Answer

(A) BR22ω

Step-by-step Solution

Detailed explanation

dϕ=B→·ds→=Bds =B12ϕR2 (ϕ=Sector angle) Magnitude of induced emf =-dϕdt =B12R2dϕdt =BR2ω2
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