Question
Download Solution PDFWhen a charged particle moves perpendicular to the magnetic field, its angular velocity of the circular motion does not depend on the:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Lorentz force:
- It is defined as the force exerted on a charged particle q moving with velocity v through an electric field E and magnetic field B.
- The entire electromagnetic force on the charged particle is called the Lorentz force and is given by,
⇒ FL = qE + qvBsinθ
- A charged particle experiences a force when it moves in a magnetic field.
⇒ F = qvBsinθ
Where, F = force due to magnetic field, q = magnitude of charge, v = speed of charge, B = magnetic field and θ = angle between v and B
CALCULATION:
- When the velocity of a charged particle is perpendicular to a magnetic field, it describes a circle and the angular velocity of the charged particle is given by:
- From the above equation, it is clear that the angular velocity depends on mass, charge, and magnetic field but it is independent of speed.
- Hence, option 1 is correct.
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