where A is a constant value different from zero and with units V/m2. Now, consider that a magnetic field permeates the region of(a). Write an expression representing a time-varying magnetic field B(r,y, z, t) that renders the vector field proposed in (a) suitable to describe an electric field. Check and demonstrate that the expression you found is a suitable representation of a magnetic field. Hence or otherwise, show that: \vec{B}=K x \hat{x}+K y \hat{y}+A t \hat{z} is not an adequate expression for a magnetic field for K # 0 T/m2.
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