Concept explainers
(a)
The time required for
(a)
Answer to Problem 41P
Explanation of Solution
Given:
Magnitude of charge on an ion,
Magnitude of magnetic field,
Magnitude of velocity of ion
Mass of the ion
Angle between the velocity of ion and magnetic field,
Radius of the orbit of ion
Time taken to complete the semicircle by ion
Distance traveled to complete the semicircle
Formula Used:
Time taken is given as
Magnetic force on the ion moving in magnetic field is given
Centripetal force is given as
Calculation:
Magnetic force on the ion moving in magnetic field is given
For the ion to move in a circular orbit, the necessary centripetal force is provided by the magnetic force acting on it. Hence
Distance traveled to complete the semicircle is same as the circumference of semicircle
Time taken to complete the semicircle is given as
So time taken by ion
Conclusion:
The time taken by ion
(b)
The time required for
(b)
Answer to Problem 41P
Explanation of Solution
Given:
Magnitude of charge on an ion,
Magnitude of magnetic field,
Magnitude of velocity of ion
Mass of the ion
Angle between the velocity of ion and magnetic field
Radius of the orbit of ion
Time taken to complete the semicircle by ion
Distance traveled to complete the semicircle
Formula Used:
Time taken is given as
Magnetic force on the ion moving in magnetic field is given
Centripetal force is given as
Calculation:
Magnetic force on the ion moving in magnetic field is given
For the ion to move in a circular orbit, the necessary centripetal force is provided by the magnetic force acting on it. Hence
Distance traveled to complete the semicircle is same as the circumference of semicircle
Time taken to complete the semicircle is given as
So time taken by ion
Conclusion:
The time taken by ion
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Chapter 26 Solutions
Physics for Scientists and Engineers
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