Motional emf problem on inclined plane

Click For Summary
SUMMARY

The discussion centers on a motional electromotive force (emf) problem involving a straight horizontal rod sliding down inclined rails at a 30-degree angle. Given the rod's mass of 71 grams, a velocity of 4.6 m/s, and a uniform vertical magnetic field of 0.16 T, the task is to calculate the induced current through a 6.8-ohm resistor and determine the terminal velocity of the rod. Using the equations Emf = Blv and F magnetic field = IBl, participants can derive the current in milliamps and analyze the forces acting on the rod.

PREREQUISITES
  • Understanding of motional emf and Faraday's law of induction
  • Familiarity with magnetic fields and their interaction with conductors
  • Knowledge of basic physics equations related to electromagnetism
  • Ability to perform calculations involving resistance and current
NEXT STEPS
  • Calculate the induced current using the formula Emf = Blv
  • Determine the terminal velocity of the rod under the influence of gravity and magnetic forces
  • Explore the implications of frictionless motion in electromagnetic systems
  • Review related problems in electromagnetism for deeper understanding
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in practical applications of motional emf in inclined planes and magnetic fields.

yankans
Messages
12
Reaction score
0

Homework Statement



a straight horizontal rod slides along parallel conducting rails at an angle with the horizontal of 30 degrees (inclined plane). The rails are connected at the bottom by a horizontal rail so that the rod and rails form a closed rectangular loop. A uniform vertical field exists throughout the region.
assume: rod remains in contact w/ rails as it slides down rails. rod experiences no friction/air drag. Rails and rod have negligible resistance. g = 9.8m/s^2.
a)if velocity of the rod is 4.6m/s, what is the current through the resistor? answer in mA.
b) what is the terminal velocity of the rod? (in m/s)

note: this is like a motional emf problem - the rod on rails
and
rod = 71 g in mass, moving at 4.6m/s
magnetic field = 0.16 straight down
resistor = 6.8 ohms


Homework Equations



F magnetic field = IBl where l is lowercase L, the width btwn rails
Emf = Blv
magnetic flux = Blx


The Attempt at a Solution



I honestly have no idea where to start this problem...
 
Physics news on Phys.org

Similar threads

Replies
11
Views
3K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
5
Views
2K
  • · Replies 12 ·
Replies
12
Views
5K
  • · Replies 22 ·
Replies
22
Views
3K