Electromagnetic Field Theory
A rectangular loop in the x – z plane bounded by the lines x = 0, x = a, z = 0 and z = b is in a time varying magnetic field is given by B = B0 cosωt + ay. Where B0 is constant, ω is angular frequency and ay unit vector in the y direction. Now the emf induced in the loop is given by

 Bo ω sinω t.
 ab Bo cosω t.
  abω Bo sinω t.
 Zero.

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Electromagnetic Field Theory
Gradient of scalar field is expressed as

 Gradient of divergence of a vector field minus the curl of the vector field.
 Circulation of a vector field per unit area as the area tends to zero.
 Maximum rate of increase of scalar function at a point.
 Outward flux of a vector field per unit volume as the volume about the point tends to zero.

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