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The ability of matter to attract matter to itself The ancient Greeks were the first to discover this phenomenon in a mineral they named magnetite ▪ First observed at least 2500 years ago in fragments of magnetized iron near the ancient city of Magnesia in Western Turkey ▪ These fragments are known as permanent magnets Breaking a bar magnet, each piece has a north and south pole, even if the pieces are different sizes. (The smaller the piece, the weaker its magnetism) Its geographic pole is close to a magnetic south pole, which is why the north pole of a compass needle points north The earth’s magnetic axis is not quite parallel to its geographic axis, so a compass reading deviates somewhat from the geographic north This deviation, which varies with location, is called magnetic declination or magnetic variation The magnetic field is not horizontal at most points on the earth’s surface; its angle up or down is called magnetic inclination At the magnetic poles the magnetic field is vertical The magnitude of the magnetic force is proportional to the magnitude of the charge The magnitude of the force is also proportional to the magnitude or “strength” of the field Magnetic force depends on the particle’s velocity The magnetic force 𝐹𝐵 does not have the same direction as the magnetic field 𝐵 but instead is always perpendicular to both 𝐵 and the velocity 𝑣 The magnetic force 𝐹 acting on a positive charge q moving with velocity 𝑣 is perpendicular to both 𝑣 and the magnetic field 𝐵, For given values of the speed v and magnetic field strength 𝐵, the force is greatest when 𝑣 and 𝐵 are perpendicular. The direction of 𝐹is always perpendicular to the plane containing 𝑣 and 𝐵. Its magnitude is given by 𝐹 = 𝑞 𝑣⊥ 𝐵 = 𝑞 𝑣𝐵𝑠𝑖𝑛𝜙 Where 𝑞 is the magnitude of the charge and 𝜙 is the angle measured from the direction of 𝑣 to the direction of 𝐵. 𝑁∙𝑠 or 𝐶∙𝑚 SI unit of 𝐵 is 1 since one ampere is one 𝐶 𝑁 coulomb per second (1 A = 1 ), 1 𝑠 𝐴 ∙𝑚 This unit is called the tesla (T), in honor of Nikola Tesla (1857 - 1943), the prominent Serbian-American scientist and inventor 𝑁 1 tesla = 1 T = 1 𝐴 ∙𝑚 Another unit of 𝐵, the gauss (1 G = 1o-4 T), is also in common use. Instruments for measuring magnetic field are sometimes called gaussmeters The magnetic field of the earth is of the order 10-4 T or 1 G. Magnetic field of the order of 10 T occur in the interior of atoms and are important in the analysis of atomic spectra The largest steady magnetic field that can be produced at present in the laboratory is about 45 T Some pulsed-current electromagnets can produce fields of the order of 120 T for short time intervals of the order of a millisecond The magnetic field at the surface of a neutron star is believed to be of the order of 108 T