Concept explainers
(a)
Approximate deflection of the electron beam .
(a)
Answer to Problem 76GP
Deflection of the electron beam near the center of a TV screen due to the Earth’s magnetic field by
Explanation of Solution
Given:
Earth’s magnetic field is
Formula used:
According to the conservation of energy principle, total energy remains conserved that is potential energy converts in kinetic energy.
Calculation:
Since electron velocity is aligned horizontally, is perpendicular to the Earth’s magnetic field. Considering magnetic force of the electron is so small that electron follows the same path in the entire trajectory as shown in the figure below,
This results in the constant acceleration. Since electron’s voltage gained initially turns to be the kinetic energy of the electrons in the CRT. Thus, velocity of the electron is
Time in the field will be
Since electrons are starting at rest. Using second equation of motion,
Conclusion:
Thus, deflection of the electron beam near the center of a TV screen due to the Earth’s magnetic field by
(b)
Approximate deflection of the electron beam .
(b)
Answer to Problem 76GP
Deflection of the electron beam near the center of a TV screen due to the Earth’s magnetic field by
Explanation of Solution
Given:
Earth’s magnetic field is
Formula used:
According to the conservation of energy principle, total energy remains conserved that is potential energy converts in kinetic energy.
Calculation:
Deflection of the electron beam is
Since the deflection is so small that the horizontal distance traveled and the assumptions are verified.
Conclusion:
Thus, deflection of the electron beam near the center of a TV screen due to the Earth’s magnetic field by
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Physics: Principles with Applications
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