Force due to the magnetic field, force due to electric field Semiconductors can have either positive or negative charge carriers, and the setup below is widely used in industry to characterize the mobility and sign of the charge carriers. L Positive charge h B Negative charge B (a) Draw the charge distribution that results if the charge carrier is positive. (b) Draw the charge distribution that results if the charge carrier is negative. (c) After equilibrium is established, draw the magnetic force on a positive charge carrier.

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**Force Due to the Magnetic Field, Force Due to the Electric Field**

Semiconductors can have either positive or negative charge carriers, and the setup below is widely used in industry to characterize the mobility and sign of the charge carriers.

**Diagrams Explanation:**

1. **Left Diagram: Positive Charge Carrier**
   - A current-carrying conductor, denoted by a wire loop (L), is placed in a magnetic field (\( \mathbf{B} \)).
   - It contains a positive charge carrier, represented by green dots.
   - The setup includes connections to a measuring device (ammeter or voltmeter).
   - There's a magnetic force (\( \mathbf{F}_B \)) acting on the positive charge.

2. **Right Diagram: Negative Charge Carrier**
   - Similar to the left diagram, but the charge carriers are negative, shown by green dots.
   - The direction of the magnetic force will differ due to the negative charge.

**Tasks:**

(a) Draw the charge distribution that results if the charge carrier is positive.

(b) Draw the charge distribution that results if the charge carrier is negative.

(c) After equilibrium is established, draw the magnetic force on a positive charge carrier.

(d) After equilibrium is established, draw the electric force on a positive charge carrier.

(e) Consider a charge carrier in the bar after equilibrium is established. Determine whether the magnitude of the force due to the magnetic field on this carrier must be larger, smaller, or the same as the magnitude of the force due to the electric field.
Transcribed Image Text:**Force Due to the Magnetic Field, Force Due to the Electric Field** Semiconductors can have either positive or negative charge carriers, and the setup below is widely used in industry to characterize the mobility and sign of the charge carriers. **Diagrams Explanation:** 1. **Left Diagram: Positive Charge Carrier** - A current-carrying conductor, denoted by a wire loop (L), is placed in a magnetic field (\( \mathbf{B} \)). - It contains a positive charge carrier, represented by green dots. - The setup includes connections to a measuring device (ammeter or voltmeter). - There's a magnetic force (\( \mathbf{F}_B \)) acting on the positive charge. 2. **Right Diagram: Negative Charge Carrier** - Similar to the left diagram, but the charge carriers are negative, shown by green dots. - The direction of the magnetic force will differ due to the negative charge. **Tasks:** (a) Draw the charge distribution that results if the charge carrier is positive. (b) Draw the charge distribution that results if the charge carrier is negative. (c) After equilibrium is established, draw the magnetic force on a positive charge carrier. (d) After equilibrium is established, draw the electric force on a positive charge carrier. (e) Consider a charge carrier in the bar after equilibrium is established. Determine whether the magnitude of the force due to the magnetic field on this carrier must be larger, smaller, or the same as the magnitude of the force due to the electric field.
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