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Adeonaja
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A charge is entering magnetic field perpendicularly! Griffiths says it motion will be circular! But it is accelerated so it must radiate energy and it's motion should be spiral inward?
Or look in Griffiths's chapter on radiation near the end of the book.Nugatory said:Google for "synchrotron radiation"
The trajectory of a charged particle in a magnetic field is a curved path due to the interaction between the magnetic field and the particle's electric charge. The particle will experience a force perpendicular to both its velocity and the direction of the magnetic field, causing it to move in a circular or helical path.
The strength of the magnetic field directly affects the radius of the charged particle's trajectory. A stronger magnetic field will result in a smaller radius, while a weaker magnetic field will result in a larger radius. This is because the force on the charged particle is directly proportional to the strength of the magnetic field.
The particle's velocity plays a crucial role in its trajectory in a magnetic field. The direction of the velocity determines the direction of the force on the particle, while the magnitude of the velocity determines the strength of the force. A higher velocity will result in a larger radius of the trajectory, while a lower velocity will result in a smaller radius.
Yes, the trajectory of a charged particle in a magnetic field can be controlled by changing the strength or direction of the magnetic field, or by changing the velocity of the particle. This is the principle behind devices such as particle accelerators and mass spectrometers.
The charge and mass of the particle do not affect the trajectory itself, but they do affect the strength of the force on the particle. A particle with a higher charge or lower mass will experience a stronger force, resulting in a smaller radius of the trajectory. Conversely, a particle with a lower charge or higher mass will experience a weaker force, resulting in a larger radius.