Light as an electromagnetic wave Why the light as an electromagnetic wave does not interact with electrical and magnetic fields, while other electromagnetic waves such as radio waves do?
For example, radio waves are interfered by EM Fields created by power lines but on the other hand light is not affected by power lines.
 A: The e-m fields created by power lines don't affect the passage of e-m waves through the region around the power lines. [Technically a 'principle of superposition' operates, one of whose consequences is that beyond the region of the power lines, you couldn't tell that the e-m waves had passed through that region.] The interference you ask about is what you find when using a radio etc in the region of the power lines. The radio detects the fields due to the power lines and due to the e-m waves. What you hear may therefore not be what you want!
Why we say that light is not affected is because your eye does not respond to the frequencies of the fields from the power line. Your radio set does. Neither light nor radio wave themselves are affected in the way they travel by the fields from the power lines.
A: First, note that interference and interaction are two very different things.  I'm assuming based on the language of your question you're talking about the interactions between fields, and are using the word "interfere" as in "mess with".
Under that assumption, you are mistaken.  Power lines do not create EM fields which interact with radio waves, they create radio waves of their own which are picked up by your receiver.
Random "noise" in the lines causes them to emit electromagnetic radiation consisting of radio waves with rapidly fluctuating amplitudes.  As it happens, this is precisely how AM (amplitude-modulated) radio works, so this signal overrides the broadcast signal and your radio goes crazy until you're out of range of the power lines.
FM (frequency-modulated) radio works differently, so you won't notice this effect (at least, it won't be nearly so dramatic) if you're listening to an FM station.
The reason you don't see the radiation emitted by the power lines is simply because the frequency is far too low - but besides that, it's the same stuff as light.

Two disclaimers.  First, if the waves are traveling in a medium (such as air), electromagnetic waves can interact with each other indirectly by changing the properties of the medium.  For situations like the one you describe, however, this effect is negligible.
Second, at ludicrously high intensities, it is possible to have nonlinear interaction between electric and magnetic fields even in vacuum, but that is the domain of quantum field theory and is presumably not within the scope of this question.
A: For the specific case of visible light vs. radio waves, the reason they do not interfere is that they are very different wavelengths. Optical receptors are too small to be affected by radio waves and radio antennas are too large to be affected by visible light.
In general, EM waves of a particular wavelength only interact strongly with structures of a similar size. That is why radio waves, with wavelengths of many meters, go through most walls while visible light, with wavelengths in nanometers, do not. There are exceptions of course.
A: Light waves or rays interact with electric fields of electrons in a solar cell to produce a disturbance in electrons so that electricity is produced.  In a tungsten bulb, electrons try to move with very close distance because of a voltage, and at the same time the electric fields of these electrons repel them. So, light energy is released.  Light energy is associated only with electric fields. (Reference: Planets and electromagnetic waves)
Moving electrons have magnetic fields.  Radio waves interact with magnetic fields of moving electrons, and disturb the moving electrons to make variations in current. Radio waves are associated only with magnetic fields
