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consider a charged particle moving with velocity $\mathbf{v}$ through a magnetic field $\mathbf{b}$ . answer true or false. the magnetic force $\mathbf{f}$ is always perpendicular to the acceleration $\mathbf{a}$ of the particle. the force $\mathbf{f}$ exerted by the magnetic field is always perpendicular to the velocity $\mathbf{v}$ . the magnetic field $\mathbf{b}$ is always perpendicular to the acceleration $\mathbf{a}$ of the particle. the velocity $\mathbf{v}$ of the particle is always perpendicular to the magnetic field $\mathbf{b}$ .

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Final answer:

The magnetic force is always perpendicular to the acceleration of the particle, but not necessarily perpendicular to the velocity. The magnetic field can also be at any angle with respect to the acceleration, and the velocity of the particle can be at any angle with respect to the magnetic field.

Step-by-step explanation:

True or False

  1. The magnetic force f is always perpendicular to the acceleration a of the particle. ANSWER: True The magnetic force on a charged particle moving through a magnetic field is always perpendicular to the direction of the particle's acceleration.
  2. The force f exerted by the magnetic field is always perpendicular to the velocity v of the particle. ANSWER: False The force exerted by the magnetic field is perpendicular to both the velocity and the magnetic field.
  3. The magnetic field b is always perpendicular to the acceleration a of the particle. ANSWER: False The magnetic field can be at any angle with respect to the acceleration of the particle.
  4. The velocity v of the particle is always perpendicular to the magnetic field b. ANSWER: False The velocity of the particle can be at any angle with respect to the magnetic field.
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