Yes, the formulas for electrodynamics, such as Maxwell's equations, have been extensively tested and have been shown to hold true in a wide range of experimental situations. These equations accurately describe the behavior of electric and magnetic fields, as well as their interactions with charged particles. The predictions made by these formulas have been confirmed through numerous experiments, providing strong evidence for their validity. **

In electrodynamics, two connected spheres can be connected in a variety of ways. One common way is through a conducting wire, which allows for the transfer of electric charge between the spheres. This connection allows for the redistribution of charge between the spheres, leading to an equalization of their electric potentials. Another way the spheres can be connected is through induction, where the presence of one sphere induces a charge separation in the other sphere, leading to an overall redistribution of charge. Both of these connections demonstrate the interconnected nature of electric charge and potential in electrodynamics. **

Electrostatics deals with stationary electric charges and their interactions, focusing on the study of electric fields and potentials in the absence of moving charges. On the other hand, electrodynamics involves the study of electric charges in motion, taking into account the effects of both electric and magnetic fields. Electrodynamics includes the study of electromagnetic induction, Maxwell's equations, and the propagation of electromagnetic waves, while electrostatics is limited to the analysis of static electric fields. **

In electrodynamics, a coil generates a charge because of the phenomenon of electromagnetic induction. When a coil of wire is subjected to a changing magnetic field, it induces an electric current in the wire. This is due to Faraday's law of electromagnetic induction, which states that a changing magnetic field induces an electromotive force (EMF) in a conductor. As a result, the coil generates a charge as the induced current flows through it. This principle is the basis for the operation of electric generators and many other electrical devices. **

Both degrees can be suitable for studying Electrodynamics, but it ultimately depends on the specific focus and career goals of the individual. A degree in Electrical Engineering may be more practical and focused on the application of Electrodynamics in technology and industry, while a degree in Physics may provide a more theoretical and fundamental understanding of Electrodynamics. Students interested in pursuing a career in research or academia may find a degree in Physics more suitable, while those interested in practical applications and engineering may prefer a degree in Electrical Engineering. **

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