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STD 12 -6. Electromagnetic induction — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 12 -6. Electromagnetic induction4 Marks
MCQ
A rectangular coil $ABCD$ is rotated in uniform magnetic field with constant angular velocity about its one of the diameter as shown in figure.The induced $emf$ will be maximum, when the plane of the coil is
  • A
    Perpendicular to the magnetic field
  • B
    Making an angle of $30^o$ with the magnetic field
  • C
    making an angle of $45^o$ with the magnetic field
  • ✓
    Parallel to the magnetic field
✓

Answer

Correct option: D.
Parallel to the magnetic field
d
Let the angle between magnetic field and the line perpendicular to the surface of rectangular coil be $\theta$

Hence the flux through the coil is $\phi=\vec{B} . \vec{A}=B A \cos \theta$

Hence the induced emf $=$ Rate of change of flux $=-\frac{d \phi}{d t}=B A \sin \theta \frac{d \theta}{d t}=B A \omega \sin \theta$

Hence it is minimum when $\theta=0^{\circ}, 180^{\circ}$

Which means when the plane of coil is at right angle to the magnetic field.

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