Emf in a conducting rod moving away from a wire with current I

In summary, the induced EMF in a conducting rod moving away from a wire with current I will be in the opposite direction to the current in the wire, according to Lenz's Law. The speed of the rod affects the induced EMF, with a faster movement resulting in a greater EMF due to a stronger magnetic field. The magnitude of the induced EMF is also influenced by the strength of the current, speed of the rod, distance between the wire and rod, and the angle between them. Additionally, the direction of motion of the rod can affect the induced EMF, with a perpendicular motion resulting in maximum EMF and a parallel motion resulting in no EMF. The induced EMF can be calculated using the formula E =
  • #1
Mauvai
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0

Homework Statement


A conducting rod of length l moves with a constant speed v perpendicular
to an infinately long, straight wire carrying a current I. What is the emf generated between the ends of the rod when it is a perpendicular distance r from the wire?


Homework Equations


no idea whatsoever


The Attempt at a Solution


sorry completely lost on this one :-/
 
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  • #2
And i realize this looks like i haven't tried, but I've checked every set of notes, every piece of background reading provided, posted on my years facebook page, googled it, and absolutely nothing has come up.
 

1. What is the direction of the induced EMF in a conducting rod moving away from a wire with current I?

The induced EMF in a conducting rod moving away from a wire with current I will be in the opposite direction to the current in the wire. This is known as Lenz's Law.

2. How does the speed of the rod affect the induced EMF?

The faster the rod moves away from the wire, the greater the induced EMF will be. This is because a faster movement creates a stronger magnetic field around the wire, leading to a larger change in magnetic flux and therefore a greater induced EMF.

3. What factors affect the magnitude of the induced EMF?

The magnitude of the induced EMF is affected by the strength of the current in the wire, the speed of the rod, and the distance between the wire and the rod. It is also affected by the angle between the wire and the rod's direction of motion.

4. Can the direction of motion of the rod affect the induced EMF?

Yes, the direction of motion of the rod can affect the induced EMF. If the rod moves perpendicular to the current in the wire, the induced EMF will be at its maximum. If the rod moves parallel to the wire, there will be no induced EMF.

5. How can the induced EMF be calculated in this scenario?

The induced EMF can be calculated using the formula E = Blv, where B is the magnetic field strength, l is the length of the rod, and v is the velocity of the rod. It can also be calculated using Faraday's Law of Induction, which states that the induced EMF is equal to the rate of change of magnetic flux through the circuit.

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