Electric Stress between wires of a solenoid

AI Thread Summary
Electric stress in a solenoid refers to the voltage difference between successive coils when a voltage is applied across the solenoid. The amplitude of this electric stress can be expressed as V/d multiplied by the distance between coils, Δa. When a voltage is applied at both ends of the solenoid, the total voltage difference, ΔV, is distributed across the N turns, resulting in a voltage difference of ΔV/N between each turn. This concept is crucial for designing large solenoids and transformers, as it impacts the overall performance and safety. The discussion clarifies that "electric stress" is essentially another term for voltage in this context.
walkinginwater
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hi, guys:
I am reading some notes of Electromagnetism. It claims that for a helix solenoid with N turns of wire, the distance between the successive coil is \Delta a, the total vertical length of the solenoid is d. The artical claims that if we apply a voltage v to this solenoid, there will be electric stress between successive coils.
The amplitude of the electric stress is \frac{V}{d} \Delta a.
Is this right? Can anybody give more information about Electric Stress?
 
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I haven't heard the term electrical stress but two current carrying wires will generate a force between them - this is the definition of the Ampere.
I imagine that the stress must be taken into account when designing a large solenoid / transformer - have you tried the engineering forum.
 
They just mean electric stress = voltage.
Think of the solenoid as a ruler with the windings being
ticks on the scale.

If you put one voltage at one end of the coil, and another
voltage on the other end of the coil, then clearly there's
delta_V between the top and bottom of the helix.

Since there are N turns and delta_V of total
voltage difference along the length of those N turns,
there is a voltage difference or 'electric stress' (in
poorly chosen confusing language) of delta_V/N
between one turn and the next, so all the steps on the
ladder add up to the applied delta_V.
 
Thanks Xez, the equations didn't show up in my browser so it wasn't clear what the OP was talking about.
 
This Thread Has been Solved! Thanks for Meir Achuz

Thanks very much, xez!

xez said:
They just mean electric stress = voltage.
Think of the solenoid as a ruler with the windings being
ticks on the scale.

If you put one voltage at one end of the coil, and another
voltage on the other end of the coil, then clearly there's
delta_V between the top and bottom of the helix.

Since there are N turns and delta_V of total
voltage difference along the length of those N turns,
there is a voltage difference or 'electric stress' (in
poorly chosen confusing language) of delta_V/N
between one turn and the next, so all the steps on the
ladder add up to the applied delta_V.
 
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
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