A 2.0 μC positive charge of speed 6.0 × 106 m/s is moving in a 0.30 T magnetic field as shown, the angle between the magnetic field and the charge's velocity is 40°. What is the magnitude of the magnetic force on the charge, in Newtons? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

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Chapter1: Units, Trigonometry. And Vectors
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A 2.0 μC positive charge of speed 6.0 × 106 m/s is moving in a 0.30 T magnetic field as shown, the angle between the magnetic field and the charge's velocity is 40°. What is the magnitude of the magnetic force on the charge, in Newtons?

Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

 

This image illustrates the vector relationship in the context of a charged particle moving through a magnetic field. 

- The diagram shows a positively charged particle at the center, indicated by the red circle with a plus sign.
- Three vectors are depicted: 
  - \(\vec{F}\) (red arrow) represents the magnetic force on the particle, pointing upwards and perpendicular to the plane.
  - \(\vec{B}\) (blue arrow) represents the magnetic field, pointing diagonally upward to the right within the plane.
  - \(\vec{v}\) (green arrow) represents the velocity of the particle, pointing along the plane to the right.

- The vectors \(\vec{B}\) and \(\vec{v}\) form an angle within the plane. The force direction \(\vec{F}\) is determined by the right-hand rule, applicable to a moving positive charge in a magnetic field.
Transcribed Image Text:This image illustrates the vector relationship in the context of a charged particle moving through a magnetic field. - The diagram shows a positively charged particle at the center, indicated by the red circle with a plus sign. - Three vectors are depicted: - \(\vec{F}\) (red arrow) represents the magnetic force on the particle, pointing upwards and perpendicular to the plane. - \(\vec{B}\) (blue arrow) represents the magnetic field, pointing diagonally upward to the right within the plane. - \(\vec{v}\) (green arrow) represents the velocity of the particle, pointing along the plane to the right. - The vectors \(\vec{B}\) and \(\vec{v}\) form an angle within the plane. The force direction \(\vec{F}\) is determined by the right-hand rule, applicable to a moving positive charge in a magnetic field.
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