A small loop antenna of radius a

$<<$ is to be positioned at the origin. A

radiating element consisting of a half$-$wavelength vertical dipole along z$-$axis is located in

the far$-$field region at $2$

$==$ radians with respect to the axis at the origin. Determine

a$.$ How the loop be positioned $($i$.$e$.$ plane of the loop in xy$,$ xz$,$ yz$,$ etc.$)$ such that maximum

voltage is induced in the loop due to the transmissions from the dipole, and

b$.$ The maximum received $($induced$)$ voltage across a small gap in the loop.