What Velocity Is Needed to Generate a 1 μA Current in a Magnetic Field?

Click For Summary
SUMMARY

The discussion focuses on calculating the velocity required to generate a 1 μA current in a magnetic field using a setup of parallel conducting rails. Given a resistance of 100 ohms and a magnetic field strength of 10 μT, the necessary voltage is determined to be 1 mV. The relationship between induced electromotive force (emf) and velocity is established through the equation F=q(E+vxB), which is essential for solving the problem. The participants emphasize the importance of understanding induced emf and magnetic flux in this context.

PREREQUISITES
  • Understanding of Ohm's Law (V=IR)
  • Familiarity with electromagnetic concepts (F=q(E+vxB))
  • Knowledge of magnetic flux and its calculation
  • Basic principles of induced emf in magnetic fields
NEXT STEPS
  • Study the principles of electromagnetic induction and Faraday's Law
  • Explore the calculation of magnetic flux in various configurations
  • Learn about the relationship between velocity and induced current in conductive materials
  • Investigate practical applications of induced emf in engineering and physics
USEFUL FOR

Students and educators in physics, electrical engineers, and anyone interested in the principles of electromagnetism and their applications in current generation.

lovinuz
Messages
4
Reaction score
0

Homework Statement


Two parallel conducting rails are separated by 50 cm. These are connected together
by a fixed wire and by a third rail, constrained to lie transverse to the two parallel rails,
which can slide back and forth. There is a 100 ohm resistance in the fixed wire. All three rails lie in the xy-plane, in the presence of a magnetic field B = 10 μT k(direction vector). What velocity must one slide the rail in order to generate a current of 1 μA?


Homework Equations


V=IR
F=q(E+vxB)


The Attempt at a Solution


A current of 1 μA and resistance of 100 ohm means that the voltage should be 1x10-3 V. What should I do next?
 
Physics news on Phys.org
A current of 1 μA and resistance of 100 ohm means that the voltage should be 1x10-3 V
Micro means 10^-6.
Induced emf = rate of change of flux. And flux = field*area
 

Similar threads

Undergrad Railgun: Significant magnetic field where projectile is?
  • · Replies 8 ·
Replies
8
Views
2K
RF magnetic field generation
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad How relative is the magnetic field of a current carrying conductor?
  • · Replies 4 ·
Replies
4
Views
1K
Multipole ring magnet generator
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad Numerical calculations of a railgun yielded disappointing results
  • · Replies 4 ·
Replies
4
Views
2K
Magnetic flux of sliding bar on rails
  • · Replies 1 ·
Replies
1
Views
2K
Rod on rails in a magnetic field
  • · Replies 5 ·
Replies
5
Views
3K
Vertical circuit under a magnetic field
  • · Replies 3 ·
Replies
3
Views
1K
Changing cross-sectional area effect on induced current
  • · Replies 10 ·
Replies
10
Views
5K
High School Magnetic field and generator power output
  • · Replies 5 ·
Replies
5
Views
3K