A "unipolar" generator consists of a copper disk of radius R. rotating in a uniform, steady magnetic field B perpendicular to the disk, out of the page (see the figure below). (The magnetic field is produced by large coils carrying constant current, not shown in the diagram.) Sliding contacts are made at the center (on the axle) and at the rim of the disk, and the wires are connected to a voltmeter. Uniform, steady B, out of page Radius R Voltmeter (a) Draw the charge distribution. (b) Explain your reasoning.

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**Unipolar Generator Explanation**

The diagram illustrates a "unipolar" generator, which is composed of a rotating copper disk with a radius \( R \) within a uniform, steady magnetic field \( B \). This magnetic field is perpendicular to the disk and directed into the page. The magnetic field is generated by large coils with a constant current (not shown in the diagram). Sliding contacts are connected at the disk's center (on the axle) and the disk's rim, and these are linked to a voltmeter.

**Diagram Analysis:**

- The copper disk is depicted as a gray circle with radius \( R \).
- A uniform magnetic field \( B \) is shown out of the page (denoted by a circle with a dot at the top of the disk).
- The disk rotates counterclockwise with velocity \( \vec{v} \) (indicated by a green arrow along the rim's direction).
- The sliding contacts are illustrated by black and red lines connecting the center and the edge of the disk to a voltmeter.
- The voltmeter is represented by a gray box with a question mark symbol inside, indicating the measurement input is to be determined.

**Problem Instructions:**

(a) **Draw the charge distribution.**
- Identify regions of positive and negative charges on the disk due to its rotation in the magnetic field.

(b) **Explain your reasoning.**
- Provide a detailed explanation of the physics and concepts behind the charge distribution observed on the rotating disk, using principles such as electromagnetic induction and the Lorentz force.
Transcribed Image Text:**Unipolar Generator Explanation** The diagram illustrates a "unipolar" generator, which is composed of a rotating copper disk with a radius \( R \) within a uniform, steady magnetic field \( B \). This magnetic field is perpendicular to the disk and directed into the page. The magnetic field is generated by large coils with a constant current (not shown in the diagram). Sliding contacts are connected at the disk's center (on the axle) and the disk's rim, and these are linked to a voltmeter. **Diagram Analysis:** - The copper disk is depicted as a gray circle with radius \( R \). - A uniform magnetic field \( B \) is shown out of the page (denoted by a circle with a dot at the top of the disk). - The disk rotates counterclockwise with velocity \( \vec{v} \) (indicated by a green arrow along the rim's direction). - The sliding contacts are illustrated by black and red lines connecting the center and the edge of the disk to a voltmeter. - The voltmeter is represented by a gray box with a question mark symbol inside, indicating the measurement input is to be determined. **Problem Instructions:** (a) **Draw the charge distribution.** - Identify regions of positive and negative charges on the disk due to its rotation in the magnetic field. (b) **Explain your reasoning.** - Provide a detailed explanation of the physics and concepts behind the charge distribution observed on the rotating disk, using principles such as electromagnetic induction and the Lorentz force.
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