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Basic Principles of Electromagnetism

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C h a p t e r 4 | 99Absolute permeability,= µ µµ0r−7= (4π× 10 )(4000)= 5.027 x 10 -3 H/mREFERENCERobertson, C.R (2008) “Fundamental Electrical and Electronic <strong>Principles</strong> 3 rdNewnes, New YorkEdition”,PROBLEMS1. Find the magnetic field strength applied to a magnetic circuit <strong>of</strong> mean length 50 cmwhen a coil <strong>of</strong> 400 turns is applied to it carrying a current <strong>of</strong> 1.2 A.(960AT/m)2. A current <strong>of</strong> 2.5A when flowing through a coil produces an mmf <strong>of</strong> 675 At. Calculatethe number <strong>of</strong> turns on the coil(270 turns)3. A magnetizing force 8000 A/m is applied to a circular magnetic circuit <strong>of</strong> meandiameter 30 cm by passing a current through a coil wound on the circuit. If the coil isuniformly wound around the circuit and has 750 turns, find the current in the coil.(10.05 A)4. The maximum working flux density <strong>of</strong> a lifting electromagnet is 1.8 T and the effectivearea <strong>of</strong> a pole face is circular in cross-section. If the total magnetic flux produced is 353mWb, determine the radius <strong>of</strong> the pole.(0.196m)5. A coil <strong>of</strong> 300 turns is wound uniformly on a ring <strong>of</strong> non-magnetic material. The ringhas a mean circumference <strong>of</strong> 40 cm and a uniform cross-sectional area <strong>of</strong> 4cm 2 . If thecurrent in the coil is 5 A, calculate (a) the magnetic field strength, (b) the flux densityand (c) the total magnetic flux in the ring.(3750AT/m, 4.712mT, 1.885µWb)6. At what velocity must a conductor 75mm long cut a magnetic flux <strong>of</strong> density 0.6T if ane.mf. <strong>of</strong> 9V is to be included in it? Assume the conductor, the field and the direction <strong>of</strong>motion are mutually perpendicular.(200m/s)7. A conductor <strong>of</strong> length 15cm is moved at 750mm/s at right-angles to a uniform fluxdensity <strong>of</strong> 1.2 T. Determine the emf induced in the conductor.(0.135V)<strong>Basic</strong> <strong>Principles</strong> <strong>of</strong> <strong>Electromagnetism</strong>

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