Was introduced to electrostatics today. So I do not have much idea about it and neither I have a strong background in physics. Just a highschool student
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I don't know how you are yet acquainted with the magnetic field, but remember, that charge generates the electric field (the E-field), but the current (moving charge) generates the magnetic field (the B-field).
So yes, magnetic field depends on the frame of the reference. An intuitive example would be a charged rod. If it is stationary, it only generates the E-field. But if we would be in the moving frame of reference, it would be the same as if the charges inside the rod would be moving. According to the Ampère's law (which describes the B-field on the closed loop) it would generate the magnetic field.
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