A constant magnetic field passes through a single rectangular loop whose dimensions are 0.42 m x 0.54 m. The magnetic field has a magnitude of 1.7 T and is inclined at an angle of 71o with respect to the normal to the plane of the loop. (a) If the magnetic field decreases to zero in a time of 0.42 s, what is the magnitude of the average emf induced in the loop

Explanation:

A = Area =

B = Magnetic field = 1.7 T

= Angle that magnetic field makes with the plane of the loop =

t = Time = 0.42 s

EMF is given by

The magnitude of the average emf induced in the loop is .

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.