The slide generator in the figure below is in a uniform magnetic field of magnitude 0.0500 T. The bar of length 0.355 m is pulled at a constant speed of 0.500 m/s. The U-shaped conductor and the bar have a resistivity of 2.75 × 10-8 0 · m and a cross-sectional area of 9.75 x 10¬4 m². Find the current in the generator when x = 0.610 m. (Note that the A in the image below is the area of the loop, not the cross-sectional area of the conductor and bar.) 125 X A

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**Educational Website Content:**

**Understanding Slide Generators in Magnetic Fields**

The slide generator depicted below operates within a uniform magnetic field with a magnitude of 0.0500 T (Tesla). A bar, measuring 0.355 m in length, is pulled at a constant speed of 0.500 m/s. Both the U-shaped conductor and the bar have a resistivity of \(2.75 \times 10^{-8} \, \Omega \cdot \text{m}\) and a cross-sectional area of \(9.75 \times 10^{-4} \, \text{m}^2\). The task is to determine the current generated when the position \(x\) is 0.610 m.

**Figures A and B Description:**

- **Figure A:** 
  - This diagram shows the initial state where the bulb remains unlit. 
  - The magnetic field \(\vec{B}\) is directed perpendicular to the plane of the loop. 
  - The area \(\vec{A}\) of the loop is identified within the figure.

- **Figure B:**
  - In this state, the bulb is illuminated, indicating current flow.
  - The length \( \ell \) and position \(x\) of the bar are shown.
  - The magnetic field \(\vec{B}\) and current \(I\) direction are indicated with arrows. 
  - A mechanical force \(\vec{F}_{\text{mech}}\) is applied to maintain motion.
  - An additional magnetic field \(\vec{B}_{\text{loop}}\) is illustrated for induced effects.

This example illustrates the fundamental principles of electromagnetic induction, showcasing how movement through a magnetic field can generate electrical currents. Calculate the current using the known variables and formulae associated with electromagnetic theory.
Transcribed Image Text:**Educational Website Content:** **Understanding Slide Generators in Magnetic Fields** The slide generator depicted below operates within a uniform magnetic field with a magnitude of 0.0500 T (Tesla). A bar, measuring 0.355 m in length, is pulled at a constant speed of 0.500 m/s. Both the U-shaped conductor and the bar have a resistivity of \(2.75 \times 10^{-8} \, \Omega \cdot \text{m}\) and a cross-sectional area of \(9.75 \times 10^{-4} \, \text{m}^2\). The task is to determine the current generated when the position \(x\) is 0.610 m. **Figures A and B Description:** - **Figure A:** - This diagram shows the initial state where the bulb remains unlit. - The magnetic field \(\vec{B}\) is directed perpendicular to the plane of the loop. - The area \(\vec{A}\) of the loop is identified within the figure. - **Figure B:** - In this state, the bulb is illuminated, indicating current flow. - The length \( \ell \) and position \(x\) of the bar are shown. - The magnetic field \(\vec{B}\) and current \(I\) direction are indicated with arrows. - A mechanical force \(\vec{F}_{\text{mech}}\) is applied to maintain motion. - An additional magnetic field \(\vec{B}_{\text{loop}}\) is illustrated for induced effects. This example illustrates the fundamental principles of electromagnetic induction, showcasing how movement through a magnetic field can generate electrical currents. Calculate the current using the known variables and formulae associated with electromagnetic theory.
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