The figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of θ=30 degrees. There is a resistor at the top of the ramp that connects the two conducting rails R=2.3Ω. The mass of the rod is 0.42 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=15.7 m. There is a constant, vertically directed magnetic field of magnitude B=1.5 T. Find the emf induced in the rod as a function of its velocity down the rails. What is the emf when the velocity is 5.696E−03 m/s?         .116 W What is the rod's terminal speed?        0.01138 m/s WHAT I NEED HELP WITH: A) When the rod moves at its terminal speed, what is the power dissipated in the resistor? For this I was using the equation P = V2/R and I got .00586 W which is wrong. What am I doing wrong?

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The figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of θ=30 degrees. There is a resistor at the top of the ramp that connects the two conducting rails R=2.3Ω. The mass of the rod is 0.42 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=15.7 m. There is a constant, vertically directed magnetic field of magnitude B=1.5 T.

Find the emf induced in the rod as a function of its velocity down the rails. What is the emf when the velocity is 5.696E−03 m/s?         .116 W

What is the rod's terminal speed?        0.01138 m/s

WHAT I NEED HELP WITH:

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

For this I was using the equation P = V2/R and I got .00586 W which is wrong. What am I doing wrong?

The image depicts two views of an inclined plane setup with a block and a magnetic field. 

**Top View:**
- A rectangle with one set of jagged edges labeled "R," possibly representing some resistance or force.
- The length of the setup is represented by "L."

**Side View:**
- The inclined plane is shown with an angle labeled "θ."
- A block is placed on the inclined plane.
- Arrows pointing upward from the surface indicate a magnetic field, labeled "B," acting perpendicular to the plane.

This diagram could be used in physics education to illustrate concepts such as forces on an inclined plane, magnetic fields, and possibly the effects of resistance or other forces acting on the system.
Transcribed Image Text:The image depicts two views of an inclined plane setup with a block and a magnetic field. **Top View:** - A rectangle with one set of jagged edges labeled "R," possibly representing some resistance or force. - The length of the setup is represented by "L." **Side View:** - The inclined plane is shown with an angle labeled "θ." - A block is placed on the inclined plane. - Arrows pointing upward from the surface indicate a magnetic field, labeled "B," acting perpendicular to the plane. This diagram could be used in physics education to illustrate concepts such as forces on an inclined plane, magnetic fields, and possibly the effects of resistance or other forces acting on the system.
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