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 4 × 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 2rr

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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 the resulting simple harmonic motion.
iii) the velocity and kinetic energy of the mass as it passes through the stable
equilibrium position.
Transcribed Image Text: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 the resulting simple harmonic motion. iii) the velocity and kinetic energy of the mass as it passes through the stable equilibrium position.
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