A charged particle moves in a magnetic field. What is the condition for the particle to experience maximum force?
Practice Questions
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Q1
A charged particle moves in a magnetic field. What is the condition for the particle to experience maximum force?
Velocity is zero
Velocity is parallel to the field
Velocity is perpendicular to the field
Charge is zero
The magnetic force on a charged particle is given by F = qvB sin(θ). The force is maximum when the angle θ is 90 degrees, meaning the velocity is perpendicular to the magnetic field.
Questions & Step-by-step Solutions
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Q
Q: A charged particle moves in a magnetic field. What is the condition for the particle to experience maximum force?
Solution: The magnetic force on a charged particle is given by F = qvB sin(θ). The force is maximum when the angle θ is 90 degrees, meaning the velocity is perpendicular to the magnetic field.
Steps: 5
Step 1: Understand that a charged particle can be affected by a magnetic field.
Step 2: Know the formula for the magnetic force on a charged particle: F = qvB sin(θ).
Step 3: Identify the variables in the formula: F is the force, q is the charge of the particle, v is the velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.
Step 4: Recognize that the sine function (sin) reaches its maximum value of 1 when the angle θ is 90 degrees.
Step 5: Conclude that for the force to be maximum, the velocity of the particle must be perpendicular to the magnetic field.
