For an electromagnetic wave at a particular location, the electric field is represented as E = (100 i + 200 j - 50k) V/m, while the magnetic field is denoted as B = (5.2 i - 8.3 j - b k)T at the same instance. Determine the Poynting vector at this particular moment.

In a science laboratory, you have a thin, black plastic film with dimensions of 8.0 by 8.0 inches and a mass of 0.42 g. You use an advanced laser system capable of producing a precisely controlled, upward-facing beam. Determine the minimum intensity required to suspend the plastic film in mid-air horizontally.

A broadcasting company wants to upgrade the power of its transmitting antenna, but it needs to avoid an electrical breakdown in the air at a distance of about one meter from it. The breakdown RMS electric field for air stands at roughly 3 × 10⁶ V/m. What should be their maximum allowable upgrade in terms of power?