Motional Emf: Solving for Speed with E=vBL

  • Thread starter Thread starter kiltfish
  • Start date Start date
  • Tags Tags
    Emf Motional emf
AI Thread Summary
To determine the speed of a 1.2 kg rod sliding down frictionless rails in a 3.0 T magnetic field, the equation E = vBL is crucial. The rod's length (L) is 1 m, and its resistance is 5 ohms, but the challenge lies in connecting these variables to find the speed (v). The induced electromotive force (emf) relates to resistance and the changing magnetic flux as the rod moves, suggesting a dynamic relationship in the circuit. Understanding how the resistance affects the induced emf is key to solving for speed. The problem highlights the importance of recognizing the connections between magnetic fields, induced emf, and circuit resistance.
kiltfish
Messages
6
Reaction score
0

Homework Statement


A 1.2 kg rod that has a length of 1m and a resistance of 5 ohms slides with constant speed down a pair of frictionless vertical conducting rails that are joined at the bottom. Other than the rod, the rest of the circuit is resistance-less. A uniform magnetic field of magnitude 3.0 T is perpendicular to the plane formed by the rod and the rails. Determine the speed of the rod.


Homework Equations


E=vBL


The Attempt at a Solution


I understand that B=3 and L=1
How can I solve for the other two variables with only the information I'm given? Is there some connection I just don't see? What is the relationship between resistance and induced emf, and how would I even be able to guess the emf without knowledge of voltage?
 
Physics news on Phys.org
The rod and rails form a loop (a triangular-shaped loop). There is magnetic flux passing though the loop. The loop gets smaller as the rod moves downward...
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Correct statement about a reservoir with an outlet pipe'
The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
Back
Top