What is the right-hand rule for magnetism mathematically? What does it tell you about the physics of a system? I'm aware of the right hand rule, but want to make sure I understand what is meant by "mathematical" and "what it says about the physics of a system." If this question also asking for the mathematical formula?

What is the right-hand rule for magnetism mathematically? What does it tell you about the physics of a system? I'm aware of the right hand rule, but want to make sure I understand what is meant by "mathematical" and "what it says about the physics of a system." If this question also asking for the mathematical formula?

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Consider the following arrangement in the Figure: a) Calculate the magnitude of the magnetic field at point P of the figure in terms of R, I₁, I₂. Express your answer in terms of the variables I1, I2, R, and magnetic constant po. b) What does your expression give when I1=I₂? 2
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What does the magnetization vector M represent and what are its units?
A vector needs three quantities for its specification. Name the three independent quantities conventionally used to specify the earth’s magnetic field. (Answer it regarding earth's magnetic field.
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As shown in the figure below, a circular ring with a radius of a is folded along a line across the diameter so that the two semicircles are perpendicular. In the magnetic field, this ring was rotated at a constant angular velocity over time, as shown in the figure. The axis of rotation is an extension of the fold-off line and is perpendicular to the magnetic field. The resistance of the ring is R. (1) Give a qualitative explanation of what will happen. (2)Find the current flowing through the ring. (3)What torque should be applied to the ring to allow it to rotate at a constant angular speed? (4)What do you have to do to turn it N round? (5) What energy changes from ring to heat? (6) How much energy changes from ring to heat? * I'll be so thankful and satisfied to get answer just least 3 of 6 questions..
Consider a long, horizontal Large Wire with current of 10 A running through it. We want to levitate a horizontal, thin, 0.50 m length of wire above it. If the thin wire has a mass of 10 grams, and a current of 300 mA, how far above the Large Wire will it hover (net force of zero) due to magnetic and gravitational forces? A. If the thin wire hovers above the Large Wire due to their magnetic fields, are their currents going the same direction, or opposite directions. Explain. B. Draw a diagram and label the directions of currents, and all other relevant quantities and vectors. C. Find the distance above the Large Wire the small thin wire will hover (net force of zero). D. Would your answers to parts A and C change if we wanted to find a distance below (rather than above) the Large Wire that the smaller thin wire could hover, due to their magnetic fields. Explain. Don't calculate any values but draw a new diagram and explain how this situation compares to the problem above.
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What is the largest force that the Earth’s magnetic field (here in Vancouver) could exert on an electron moving at a walking speed? Explain what direction the electron would have to move in to get the largest possible force.