nd the emf induced in the rod as a function of its velocity down the rails. What is the emf when the velocity is 1.035E-

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**Rod Slides Down Inclined Plane**

The figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of \( \theta = 31 \) degrees. There is a resistor at the top of the ramp that connects the two conducting rails \( R = 2.5 \Omega \). The mass of the rod is 0.34 kg. The rod starts from rest at the top of the ramp at time \( t = 0 \). The rails have negligible resistance and friction, and are separated by a distance \( L = 14 \) m. There is a constant, vertically directed magnetic field of magnitude \( B = 1.2 \) T.

**Diagrams Explanation:**

1. **Top View Diagram**: A simple schematic showing the rod placed between two conducting rails with a resistor \( R \).

2. **Side View Diagram**: Shows the inclined plane at an angle \( \theta \), where the rod slides down. The magnetic field \( B \) is represented by vertical arrows.

**emf**

Find the emf induced in the rod as a function of its velocity down the rails. What is the emf when the velocity is \( 1.035E - 02 \, \text{m/s} \)?

\[ \text{emf} = \square \]

**Terminal Speed**

What is the rod's terminal speed?

\[ v_{\text{terminal}} = \square \]

**Power**

When the rod moves at its terminal speed, what is the power dissipated in the resistor?

\[ \text{power} = \square \]
Transcribed Image Text:**Rod Slides Down Inclined Plane** The figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of \( \theta = 31 \) degrees. There is a resistor at the top of the ramp that connects the two conducting rails \( R = 2.5 \Omega \). The mass of the rod is 0.34 kg. The rod starts from rest at the top of the ramp at time \( t = 0 \). The rails have negligible resistance and friction, and are separated by a distance \( L = 14 \) m. There is a constant, vertically directed magnetic field of magnitude \( B = 1.2 \) T. **Diagrams Explanation:** 1. **Top View Diagram**: A simple schematic showing the rod placed between two conducting rails with a resistor \( R \). 2. **Side View Diagram**: Shows the inclined plane at an angle \( \theta \), where the rod slides down. The magnetic field \( B \) is represented by vertical arrows. **emf** Find the emf induced in the rod as a function of its velocity down the rails. What is the emf when the velocity is \( 1.035E - 02 \, \text{m/s} \)? \[ \text{emf} = \square \] **Terminal Speed** What is the rod's terminal speed? \[ v_{\text{terminal}} = \square \] **Power** When the rod moves at its terminal speed, what is the power dissipated in the resistor? \[ \text{power} = \square \]
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