  We propose a general method to realize and calculate the transmission in a
Weyl semimetal (WSM) heterostructure by employing a periodic three-dimensional
topoelectrical (TE) circuit network. By drawing the analogy between
inductor-capacitor circuit lattices and quantum mechanical tight-binding (TB)
models, we show that the energy flux in a TE network is analogous to the
probability flux in a TB Hamiltonian. TE systems offer a key advantage in that
they can be easily tuned to achieve different topological WSM phases simply by
varying the capacitances and inductances. The above analogy opens the way to
the study of tunneling across heterojunctions separating different types of
WSMs in TE circuits, a situation which is virtually impossible to realize in
physical WSM materials. We show that the energy flux transmission in a WSM
heterostructure depends highly on the relative orientation of the transport
direction and the $k$-space tilt direction. For the transmission from a Type I
WSM source lead to a Type II WSM drain lead, all valleys transmit equally when
the tilt and transmission directions are perpendicular to each other. In
contrast, large inter-valley scattering is required for transmission when the
tilt and transport directions are parallel to each other, leading to
valley-dependent transmission. We describe a Type III WSM phase intermediate
between the Type I and Type II phases. An `anti-Klein' tunneling occurs between
a Type I source and Type III drain where the transmission is totally suppressed
for some valleys at normal incidence. This is in direct contrast to the usual
Klein tunneling in Dirac materials where normally incident flux is perfectly
transmitted. Owing to the ease of fabrication and experimental accessibility,
TE circuits offer an excellent testbed to study the extraordinary transport
phenomena in WSM based heterostructures.
