At what speed must a satellite be travelling so that it shall remain in a circular orbit 1.6 x 103 km above the surface of the Earth. Take the mass of the Earth as 6.0 × 1024 kg, gravitational constant 6.7 × 10-11 N kg-²m-2 and radius of Earth as 6.4 × 106 m.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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a) At what speed must a satellite be travelling so that it shall remain in a circular orbit
1.6 x 103 km above the surface of the Earth. Take the mass of the Earth as 6.0 × 10²4
kg, gravitational constant 6.7 × 10-11 N kg-2m-2 and radius of Earth as 6.4 × 106 m.
b) A coil of wire, having 50 turns each of area 40 cm?, is placed so that a magnetic
field of strength 0.01 T enters the coil at right angles. Using the Faraday's law of
electromagnetic induction calculate the average induced EMF (electromotive force) in
the coil, if the field reduces to zero in 0.06 s.
c) Considering electron and proton as two charged particles separated by d = 5 × 10-11
m calculate the following:
i) the electrostatic potential at a distance d from the proton.
ii) the potential energy of the electron in the field of the proton
iii) the Coulomb force between proton and electron
iv) the gravitational force between the proton and electron and find its ratio to the
Coulomb force.
Take the mass of the proton 1.7 × 10-27 kg, the mass of the electron 9.1 × 10-31 kg,
the electron charge -1.6 x 10-19 C, the value of the universal gravitational constant
1
6.7 × 10-11 N kg-2m-2 and
4πεο
9 × 10° m/F.
Transcribed Image Text:a) At what speed must a satellite be travelling so that it shall remain in a circular orbit 1.6 x 103 km above the surface of the Earth. Take the mass of the Earth as 6.0 × 10²4 kg, gravitational constant 6.7 × 10-11 N kg-2m-2 and radius of Earth as 6.4 × 106 m. b) A coil of wire, having 50 turns each of area 40 cm?, is placed so that a magnetic field of strength 0.01 T enters the coil at right angles. Using the Faraday's law of electromagnetic induction calculate the average induced EMF (electromotive force) in the coil, if the field reduces to zero in 0.06 s. c) Considering electron and proton as two charged particles separated by d = 5 × 10-11 m calculate the following: i) the electrostatic potential at a distance d from the proton. ii) the potential energy of the electron in the field of the proton iii) the Coulomb force between proton and electron iv) the gravitational force between the proton and electron and find its ratio to the Coulomb force. Take the mass of the proton 1.7 × 10-27 kg, the mass of the electron 9.1 × 10-31 kg, the electron charge -1.6 x 10-19 C, the value of the universal gravitational constant 1 6.7 × 10-11 N kg-2m-2 and 4πεο 9 × 10° m/F.
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