# Would the induced EMF & current change?

• PhiowPhi
In summary, if a conductor of length (##L##) is moving with a velocity (##v##) inside a magnetic field (##B##), there is an induced EMF as indicated at the top of the copper slab, and connected to a load and current will flow.
PhiowPhi
From this diagram:

If a conductor of length(##L##) is moving with a velocity(##v##) inside constant magnetic field(##B##), there is an induced EMF as indicated at the top of copper slab, and connected to a load and current will flow.

I've been curious with the way the wires are connected to the conductor, what if the bottom wire has been changed from it's position to this:

In the calculations for ##\epsilon##, would I just focus on the length ##L_2## or ##L##?
My initial analysis,is the induced EMF on the conductor regardless of where the connection of the circuit wire is remains unchanged, while as the current... I'm not sure it's the same. What has changed?

I think, for the second part it's as if I'm connected it half way like so:
H
However, that portion at the bottom is still existent, and moving in the magnetic field.
My initial guess, would be: ## \epsilon = vBL_2##

Good old @jim hardy can you give me your thoughts on this?
I know it's similar to previous post we discussed about, however, do we define "##L##" as the distance between the two connection wires or the length that is perpendicular to the magnetic field alone? Or both? I'm curious to know, if I had a large conductive slab passing it through a magnetic field and instead of connecting it by the ends, I'd connected it like the diagrams. I think about the separation of charge like so:

It seems that there still would be negative charges at the bottom, would the geometric change in connection change things?

I expect you'd see just the voltage across that portion you are tapping, even though there will be voltage induced in the full length.

But you'll need to be careful with those wires to the slab: when they cut across flux lines there will be an induced voltage in the wires. The way you have shown the lower one it will cut flux lines, so arrange these wires horizontally to avoid an induced voltage in the connecting wires.

Very interesting, by "the portion I'm tapping" that means the induced EMF has changed to a smaller value with respect to the length? Or is it the same voltage ? I'm confused with the voltage induced in the full length part.
About the wires, I've made the bottom one "somewhat" perpendicular to indicate how it's connected, but it will most likely be parallel to the magnetic field.

PhiowPhi said:
Very interesting, by "the portion I'm tapping" that means the induced EMF has changed to a smaller value with respect to the length? Or is it the same voltage ? I'm confused with the voltage induced in the full length part.
About the wires, I've made the bottom one "somewhat" perpendicular to indicate how it's connected, but it will most likely be parallel to the magnetic field.
The motion induced electric field established inside the conducting bar is uniform, directed from top to bottom according to your diagram. With a uniform electric field, the potential difference is proportional to the length of the bar that you tap.

PhiowPhi
Chandra Prayaga said:
The motion induced electric field established inside the conducting bar is uniform, directed from top to bottom according to your diagram. With a uniform electric field, the potential difference is proportional to the length of the bar that you tap.

Got it, making the length of the wire be ##L_2## for any calculation

PhiowPhi said:
do we define "LL" as the distance between the two connection wires or the length that is perpendicular to the magnetic field alone?

Every individual charge moving in the field experiences force QVcrossB, and they're lined up
that's why the voltage is the integral along the path

Imagine yourself very small and inside the wire where each atom is the size of a basketball, every electron the size of a grain of fine sand.
You are holding a unit of charge.
You measure the force exerted on that charge at every point in the wire. , or calculate it using vector multiplication QVcrossB
You multiply that force by the length of each straight segment .
You add those force-distance products along the whole wire length of interest.
If you used Newtons, meters, and coulombs your result is volts. (Basics - a volt is a Joule per Coulomb)

If it's a curved wire you have to figure out its formula and solve the integral.

Figure things out from the basics...

i hope i did that right - unsure of thinker lately.

old jim

## 1. How does the strength of the magnetic field affect the induced EMF and current?

The strength of the magnetic field directly affects the induced EMF and current. A stronger magnetic field will result in a larger induced EMF and therefore a higher current. This relationship is described by Faraday's Law of Induction, which states that the induced EMF is proportional to the rate of change of the magnetic field.

## 2. Will changing the speed of the magnet or coil affect the induced EMF and current?

Yes, changing the speed of the magnet or coil will affect the induced EMF and current. According to Faraday's Law, the induced EMF is also proportional to the speed at which the magnetic field changes. Therefore, a faster-moving magnet or coil will result in a higher induced EMF and current.

## 3. Does the size of the magnet or coil impact the induced EMF and current?

Yes, the size of the magnet or coil can impact the induced EMF and current. A larger magnet or coil will generally have a stronger magnetic field, which can result in a higher induced EMF and current. However, other factors such as the number of turns in the coil and the strength of the magnetic field also play a role.

## 4. Can changes in the orientation of the magnet or coil affect the induced EMF and current?

Yes, changes in the orientation of the magnet or coil can affect the induced EMF and current. The direction of the induced EMF and current is dependent on the direction of the magnetic field and the direction of the motion of the magnet or coil. Therefore, changing the orientation of either the magnet or coil can alter the direction and strength of the induced EMF and current.

## 5. Do different materials used in the construction of the magnet or coil make a difference in the induced EMF and current?

Yes, the materials used in the construction of the magnet or coil can make a difference in the induced EMF and current. Different materials have different magnetic properties, which can affect the strength of the magnetic field and therefore the induced EMF and current. For example, iron is a highly magnetic material and is commonly used in the construction of electromagnets for this reason.

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