NEET-XII-Physics

exam-2 year:2016

with Solutions -
  • #98
    A uniform magnetic field is restricted within a region
    of radius r. The magnetic field changes with time
    at a rate ``\frac {\vec {db}}{dt}``. Loop 1 of radius R > r encloses the
    region r and loop 2 of radius R is outside the region
    of magnetic field as shown in the figure below. Then
    the e.m.f. generated is :-

    (1)``-\frac {\vec {db}}{dt}````\pi R^2`` in loop 1 and zero in loop 2
    (2) ``-\frac {\vec {db}}{dt}````\pi r^2`` in loop 1 and zero in loop 2
    (3) Zero in loop 1 and zero in loop 2
    (4) ``-\frac {\vec {db}}{dt}````\pi r^2`` in loop 1 and ``-\frac {\vec {db}}{dt}````\pi r^2`` in loop 2.
    digAnsr:   2
    Ans : (2)
    Sol. For Loop 1
    ind
    d dB
    A cos0
    dt dt
      
     =  =   
     
    2 dBr
    dt
     
    =   
     
    For Loop 2, ind = 0 as no flux linkage