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a) The distance, r, between the proton and electron in the hydrogen atom is about 10-10 m. i) Calculate the electrostatic force between the electron and proton. ii) Determine the value of the potential energy U of the electron in the hydrogen atom. Express your result in electron-volts (eV). Recall 1 eV= 1.6 × 10-19 J. iii) Determine the value of the kinetic energy of the electron. Express your result in eV.

a) The distance, r, between the proton and electron in the hydrogen atom is about 10-10 m. i) Calculate the electrostatic force between the electron and proton. ii) Determine the value of the potential energy U of the electron in the hydrogen atom. Express your result in electron-volts (eV). Recall 1 eV= 1.6 × 10-19 J. iii) Determine the value of the kinetic energy of the electron. Express your result in eV.

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a) The distance, r, between the proton and electron in the hydrogen atom is about 10-10 m. i) Calculate the electrostatic force between the electron and proton. ii) Determine the value of the potential energy U of the electron in the hydrogen atom. Express your result in electron-volts (eV). Recall 1 eV = 1.6 × 10-19 J. ii) Determine the value of the kinetic energy of the electron. Express your result in eV. b) A small rectangular coil of 6 mm by 6 mm is placed in the middle of a solenoid of 40 mm length having 100 turns and carrying a current of 3 A. The sides of the coil are perpen- dicular to the magnetic field lines of the solenoid. Calculate the force on each side of the rectangular coil due to the magnetic field of the solenoid given that a current of 2.0 A is passed through the small coil. Take vacuum permeability µo = 47 x 10-7 H/m. c) A circular metallic disc is placed with its plane perpendicular to a uniform magnetic field of flux density B. The disc has a radius of 0.2 m and is rotated at 5 revolutions per second about an axis through its center perpendicular to its plane. The e.m.f between the center and the rim of the disc is balanced by the potential difference across a 10 N resistor when carrying a current of 1 mA. Calculate the magnitude of the magnetic field strength.
Transcribed Image Text:a) The distance, r, between the proton and electron in the hydrogen atom is about 10-10 m. i) Calculate the electrostatic force between the electron and proton. ii) Determine the value of the potential energy U of the electron in the hydrogen atom. Express your result in electron-volts (eV). Recall 1 eV = 1.6 × 10-19 J. ii) Determine the value of the kinetic energy of the electron. Express your result in eV. b) A small rectangular coil of 6 mm by 6 mm is placed in the middle of a solenoid of 40 mm length having 100 turns and carrying a current of 3 A. The sides of the coil are perpen- dicular to the magnetic field lines of the solenoid. Calculate the force on each side of the rectangular coil due to the magnetic field of the solenoid given that a current of 2.0 A is passed through the small coil. Take vacuum permeability µo = 47 x 10-7 H/m. c) A circular metallic disc is placed with its plane perpendicular to a uniform magnetic field of flux density B. The disc has a radius of 0.2 m and is rotated at 5 revolutions per second about an axis through its center perpendicular to its plane. The e.m.f between the center and the rim of the disc is balanced by the potential difference across a 10 N resistor when carrying a current of 1 mA. Calculate the magnitude of the magnetic field strength.
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