Determine the magnetic flux through the center leg in the geometry shown below. The structure is assumed to have a square cross section of area 100m2, a core with relative permeability 1000, and dimensions 1₁=1cm, 12=3cm and 13=2cm 10mA 2000 turns ↑ 1mm 12 13

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Find the magnitude and direction of the magnetic field at point A. Tips on next page. Keep/truncate to 4 sig figs on each step. X= 1.0cm I=2.0A × 1=2.0A 1=2.0A

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Find the center of mass of a thin, bent wire in a semicircle, as shown in the figure dl = a de =a sin e

If the number density of electrons in a wire is n = 1.00 × 1028 m-3, at what drift velocity must they travel through a wire of diameter d = 0.520 mm to deliver a current of 2.90 A? Give your answer in mm s-1 to 3 significant figures. Take π = 3.14, and the magnitude of the charge on an electron e = 1.60 × 10-¹⁹ C Drift velocity: mm s-1

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Question B4 a) The strength of the magnetic field B at a distance r from a straight conductor car- is the permeability rying a current I is given by the expression B = of free space with the value 4n × 10-7 NA-2. Two long straight wires are lined up parallel to one another at a separation of 0.2 m. Currents of 4 A and 2 A flow through the wires, both in the same direction. Calculate the value of the magnetic field strength due to the two wires at a point P on the mid-plane between them. where 2r b) Calculate period of a small satellite which is making a circular orbit just outside a planet of density 4.0 × 10³ kg/m³. Provide the answer in SI units and in hours. Use the value of the universal gravitational constant 6.7 x 10-11 N kg-2m-2. c) A mass of 0.01 kg is suspended from a light spring of natural length 80 mm and causes the spring to extend by 10 mm. The mass is pulled down a further 5 mm and then released. Assuming g = 9.8 m/s², calculate: i) the spring constant. ii) the period of…