Concept explainers
To show: Kinetic energy of the particle is proportional to r2 .
Explanation of Solution
Given:
Mass of particle is m
In a magnetic field B ,charge q moves in a circular path whose radius of curvature is r.
Formula used:
The kinetic energy is given as,
Here, m is mass and v is velocity
Calculation:
Magnetic force supplies the
Here, r is the radius of curvature
Also, force on a charged particle in the magnetic field is qvB .
So,
Substitute the value of v from equation (1) in
Conclusion:
Thus, the kinetic energy is proportional to square of the radius of curvature.
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Physics: Principles with Applications
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