The drawing shows a parallel plate capacitor that is moving with a speed of 36.9 m/s through a 3.82-T magnetic field. The velocity v is perpendicular to the magnetic field. The electric field within the capacitor has a value of 176 N/C, and each plate has an area of 7.52x 10-4 m². What is the magnitude of the magnetic force exerted on the positive plate of the capacitor? E B

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Description:**

The drawing illustrates a parallel plate capacitor moving with a speed of 36.9 m/s through a magnetic field of strength 3.82 T (teslas). The velocity \( v \) of the capacitor is perpendicular to the magnetic field. The electric field within the capacitor has a value of 176 N/C (newtons per coulomb), and each plate has an area of \( 7.52 \times 10^{-4} \) m². The task is to find the magnitude of the magnetic force exerted on the positive plate of the capacitor.

**Diagram Explanation:**

- The diagram displays two parallel orange plates denoting the capacitor.
- The positive and negative charges are labeled on the left and right plates, respectively.
- Two blue arrows within the plates point upwards, indicating the direction of the electric field (\( \vec{E} \)).
- A red arrow labeled \( \vec{v} \) is drawn horizontally from left to right, indicating the velocity vector.
- A purple arrow labeled \( \vec{B} \) points outwards, representing the magnetic field direction perpendicular to the velocity.
- The force \( \vec{F} \) on the plates is shown as a red horizontal arrow in the direction of \( v \).

**Calculation Requirement:**

Calculate the magnitude of the magnetic force experienced by the positive plate of the capacitor using the given parameters.

**Input Fields:**

- There is a box labeled "Number" intended for the magnitude of the magnetic force, followed by a dropdown menu to select appropriate "Units."

This educational problem illustrates concepts like electric and magnetic fields, forces on charged particles, and the behavior of charges in magnetic fields. It requires a combination of understanding vector relations and applying physics formulas to solve the problem.
Transcribed Image Text:**Problem Description:** The drawing illustrates a parallel plate capacitor moving with a speed of 36.9 m/s through a magnetic field of strength 3.82 T (teslas). The velocity \( v \) of the capacitor is perpendicular to the magnetic field. The electric field within the capacitor has a value of 176 N/C (newtons per coulomb), and each plate has an area of \( 7.52 \times 10^{-4} \) m². The task is to find the magnitude of the magnetic force exerted on the positive plate of the capacitor. **Diagram Explanation:** - The diagram displays two parallel orange plates denoting the capacitor. - The positive and negative charges are labeled on the left and right plates, respectively. - Two blue arrows within the plates point upwards, indicating the direction of the electric field (\( \vec{E} \)). - A red arrow labeled \( \vec{v} \) is drawn horizontally from left to right, indicating the velocity vector. - A purple arrow labeled \( \vec{B} \) points outwards, representing the magnetic field direction perpendicular to the velocity. - The force \( \vec{F} \) on the plates is shown as a red horizontal arrow in the direction of \( v \). **Calculation Requirement:** Calculate the magnitude of the magnetic force experienced by the positive plate of the capacitor using the given parameters. **Input Fields:** - There is a box labeled "Number" intended for the magnitude of the magnetic force, followed by a dropdown menu to select appropriate "Units." This educational problem illustrates concepts like electric and magnetic fields, forces on charged particles, and the behavior of charges in magnetic fields. It requires a combination of understanding vector relations and applying physics formulas to solve the problem.
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