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-
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?
\[ \text{power} = \square \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F919fc4f8-bc37-4123-8b2a-9ca8cd02385f%2F7ba808ba-ce90-4848-84a9-130eda57ad5a%2Foo7accv_processed.png&w=3840&q=75)
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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