You are given two identical iron rods, one of which is magnetized and the other is not. How can you determine which is the magnet without using a third magnet (for example, Earth)? (b) Devise your own experiment that would determine whether a certain material is diamagnetic or paramagnetic. (c) Does it take more work to cause the same current to run through a coil of wire or through the same wire when it is straightened? Why? (d) You are given a wire of certain length and asked to wind it in the form of a solenoid in a way that maximizes the self-inductance. You may change the radius of the core and the number of turns per unit length, but must take into account that the wire has a certain fixed thickness. What should you do? (e) If you have two parallel wires carrying currents, then the nature of the force (attraction or repulsion) depends on whether the currents flow in the same or opposite directions. Can you interpret this in terms of the magnetic energy density in the region between the wires?

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter30: Sources Of The Magnetic Field
Section: Chapter Questions
Problem 30.14OQ: Rank the magnitudes of the following magnetic fields from largest to smallest, noting any cases of...
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(a) You are given two identical iron rods, one of which is magnetized and the other is not. How can you determine which is the magnet without using a third magnet (for example, Earth)? (b) Devise your own experiment that would determine whether a certain material is diamagnetic or paramagnetic. (c) Does it take more work to cause the same current to run through a coil of wire or through the same wire when it is straightened? Why? (d) You are given a wire of certain length and asked to wind it in the form of a solenoid in a way that maximizes the self-inductance. You may change the radius of the core and the number of turns per unit length, but must take into account that the wire has a certain fixed thickness. What should you do? (e) If you have two parallel wires carrying currents, then the nature of the force (attraction or repulsion) depends on whether the currents flow in the same or opposite directions. Can you interpret this in terms of the magnetic energy density in the region between the wires?
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