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BITSAT2023PhysicsElectromagnetic InductionActual

A conducting loop of radius 10 cm is placed perpendicular to a uniform magnetic field of 0.5 T . The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25 s is:

Options

  1. Aemf =1 mV
  2. Bemf =10 mV
  3. Cemf =100 mV
  4. Demf =5 mV

Correct answer

B. emf =10 mV

Step-by-step solution

As . |_ t=0.5 sec =- d dt =- A dB dt [ =0^ =1 ] =- ( 10 )^2 10⁻⁴ 0-0.5 0.5 =10⁻² ~V =10 mV As d B d t = constant Induced emf will not change with time. So, . e |_ 0,5 sec = . e |_ 0.25 sec =10 mV

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