Verified Solution • 2025–26 Session moderate

QNEET-2016-Ph-1146: NEET 2016 Physics - Class 12 NEET-2016-Ph-1146 Solution: A uniform magnetic field is restricted within a region of…

A uniform magnetic field is restricted within a region of radius r. The magnetic field changes with time at a rate dB⃗dt\frac{d\vec{B}}{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. Then the e.m.f. generated is zero in loop 1 and zero in loop 2 −dBdtπr2-\frac{dB}{dt}\pi r^2 in loop 1 and −dBdtπr2-\frac{dB}{dt}\pi r^2 in loop 2 −dBdtπR2-\frac{dB}{dt}\pi R^2 in loop 1 and zero in loop 2 −dBdtπr2-\frac{dB}{dt}\pi r^2 in loop 1 and zero in loop 2

Multiple Choice Options

  • A zero in loop 1 and zero in loop 2
  • B −dB→dtπr2- {{d\overrightarrow B } \over {dt}}\pi {r^2} _ d t d B _ � r 2 in loop 1 and −dB→dtπr2- {{d\overrightarrow B } \over {dt}}\pi {r^2} _ d t d B _ � r 2 in loop 2
  • C −dB→dtπR2- {{d\overrightarrow B } \over {dt}}\pi {R^2} _ d t d B _ � R 2 in loop 1 and zero in loop 2
  • D −dB→dtπr2- {{d\overrightarrow B } \over {dt}}\pi {r^2} _ d t d B _ � r 2 in loop 1 and zero in loop 2

Step-by-Step Verified Solution

Emf generated in loop 1, _ 1 = _ d _ d t = _ d d t ( B A ) = _ A _ d B d t _ _ 1 = _ � r 2 _ d B d t Emf generated in loop 2, _ 2 = _ d _ d t = _ d d t ( B A ) = _ d d t ( 0 _ A ) = 0

Related Learning Resources & Exam Preparation