Consider a plane electromagnetic wave with a frequency, wo, propagating in vacuum in the 2 direction with its electric (a) write down the form for the electric field, magnetic field, vector potential, and scalar potential for this wave b) suppose the wave is a pulse with a well-defined beginning and end, that is, the vector potential has an "envelope" field polarized in the & direction. (should be easy). that is a function of z -ct (and the other fields have an appropriate form). does such a wave also satisfy c) consider an electron starting at rest that sits in the path of the electromagnetic wave. what are the equations (d) use the equations frorn part c) to show that the canonical momentunn in the direction and γ are maxwell's equations? of motion and the conservation of energy equation? (write out the equations for dp/dt and dy/dt.) constants of the motion. hint: for the second constant use a linear combination of the dr/dt and dp/dt equations. (e) if the electron starts at rest, then what is maximum kinetic energy as it oscillates in the wave? (f) what is its kinetic energy after the wave completely passes by it?

32: from largest to smallest, this hierarchy includes eons, eras, periods, epochs, and ages.

33: answer is c

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electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia

part 1: which substance has a higher solubility?

a

smallest amount left undissolved atall temps in table shown most has dissolved high sol'by