Are electricity and magnetism more alike or different?

AI Thread Summary
Electricity and magnetism are fundamentally more alike than different, as evidenced by their representation in the Faraday tensor, which combines both electric and magnetic field components. This relationship highlights that changes in one can affect the other, particularly under different reference frames. Practical demonstrations, such as using an electromagnet or observing the interaction between a magnet and a wire, further illustrate their interconnectedness. The mixing of electric and magnetic fields during transformations reinforces their similarity. Overall, the discussion emphasizes the strong link between electricity and magnetism in physics.
DoctorReynaldo
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ive been doing some thinking to a question brought up by my advanced physics teacher...i can't really back up any of my responses though...any help on whether electricity and magnetism are more alike or different?
 
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You couldn't go far wrong saying "more alike." Your ammunition to back this up with is that both electric field components and magnetic field components are elements of the Faraday tensor. That means, given the rules for tensor transformation under a boost (which is just a way of saying calculated in two different reference frames, one moving at uniform velocity with respect to the other), that there will be a mixing of the electric and magnetic field components. So they really can't be all that different, eh?
 
An electromagnet made of a battery, a wire and a nail will show the conection between electricity and magnetism.

A strong magnet, a wire and an ammeter will show the connection between magnetism and electricity.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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