A 2.0 µC positive charge of speed 6.0 x 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. B V

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### Text Description:

A 2.0 µC positive charge of speed \(6.0 \times 10^6\) m/s is moving in a 0.30 T magnetic field, the magnetic field and the charge's velocity are in the same direction as shown. 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.

### Diagram Explanation:

The diagram shows a positive charge symbolized as a red circle with a positive sign. There are two arrows:

- **Green Arrow (\(\vec{v}\))**: Represents the velocity of the charge, pointing to the right.
- **Blue Arrow (\(\vec{B}\))**: Represents the magnetic field, also pointing to the right, indicating that the field and velocity are in the same direction.

The movement and field alignment imply that there is no perpendicular component of velocity relative to the field, hence the magnetic force will be zero.
Transcribed Image Text:### Text Description: A 2.0 µC positive charge of speed \(6.0 \times 10^6\) m/s is moving in a 0.30 T magnetic field, the magnetic field and the charge's velocity are in the same direction as shown. 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. ### Diagram Explanation: The diagram shows a positive charge symbolized as a red circle with a positive sign. There are two arrows: - **Green Arrow (\(\vec{v}\))**: Represents the velocity of the charge, pointing to the right. - **Blue Arrow (\(\vec{B}\))**: Represents the magnetic field, also pointing to the right, indicating that the field and velocity are in the same direction. The movement and field alignment imply that there is no perpendicular component of velocity relative to the field, hence the magnetic force will be zero.
**Magnetic Force on a Moving Charge**

A 2.0 μC positive charge moving at a speed of \(6.0 \times 10^6 \, \text{m/s}\) is in a magnetic field of \(0.30 \, \text{T}\). The angle between the magnetic field and the charge’s velocity is \(40^\circ\). Calculate 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, as it is already given in the question statement.

**Graph Explanation:**
The diagram shows a visual representation of the scenario:

- A charge \(+ \) is shown moving with velocity \(\vec{v}\) (green arrow).
- The magnetic field \(\vec{B}\) is represented by a blue arrow perpendicular to velocity.
- The magnetic force \(\vec{F}\) is shown as a red arrow pointing upwards, indicating the direction of the force due to the magnetic field on the moving positive charge.
Transcribed Image Text:**Magnetic Force on a Moving Charge** A 2.0 μC positive charge moving at a speed of \(6.0 \times 10^6 \, \text{m/s}\) is in a magnetic field of \(0.30 \, \text{T}\). The angle between the magnetic field and the charge’s velocity is \(40^\circ\). Calculate 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, as it is already given in the question statement. **Graph Explanation:** The diagram shows a visual representation of the scenario: - A charge \(+ \) is shown moving with velocity \(\vec{v}\) (green arrow). - The magnetic field \(\vec{B}\) is represented by a blue arrow perpendicular to velocity. - The magnetic force \(\vec{F}\) is shown as a red arrow pointing upwards, indicating the direction of the force due to the magnetic field on the moving positive charge.
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