Velocity in a magnetic field

In summary, the problem involves two parallel conducting rails separated by 50 cm and connected by a fixed wire and a third sliding rail. There is a 100 ohm resistance in the fixed wire and the system is in a magnetic field of 10 μT k. The goal is to determine the velocity needed to generate a current of 1 μA. Using the equations V=IR and F=q(E+vxB), the induced emf can be calculated as the rate of change of flux, where flux is equal to the field multiplied by the area and angle.
  • #1
lovinuz
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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?
 
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  • #2
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
 

1. What is velocity in a magnetic field?

Velocity in a magnetic field refers to the speed at which a charged particle moves in a magnetic field. It is affected by both the strength of the magnetic field and the charge of the particle.

2. How is velocity in a magnetic field calculated?

The velocity in a magnetic field can be calculated using the formula v = qB/m, where v is the velocity, q is the charge of the particle, B is the magnetic field strength, and m is the mass of the particle.

3. What is the direction of velocity in a magnetic field?

The direction of velocity in a magnetic field is perpendicular to both the direction of the magnetic field and the direction of the charged particle's motion. This is known as the right-hand rule.

4. How does velocity in a magnetic field affect the path of a charged particle?

The velocity in a magnetic field affects the path of a charged particle by causing it to move in a circular or helical path, rather than a straight line. The radius of this path is determined by the velocity and the strength of the magnetic field.

5. Can velocity in a magnetic field be controlled?

Velocity in a magnetic field can be controlled by adjusting the strength of the magnetic field or by changing the charge of the particle. This can be useful in applications such as particle accelerators or in controlling the movement of charged particles in devices such as cathode ray tubes.

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