Charging a widget through induction

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The discussion focuses on using induction to charge a device within the power industry, specifically seeking to determine the maximum distance from a 7kV power line to receive an 8V charge. The user inquires about algorithms or standards related to voltage loss over distance, expressing frustration over a lack of available information. It is suggested that the design could resemble an electric toothbrush, utilizing transformer equations to calculate conductance based on coil distance. Additionally, alternative wireless charging methods using radio frequencies are mentioned. The user is open to suggestions beyond induction for powering the device.
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Hey Everyone,
I am working on a project that uses induction to charge a widget by placing it within an EMF… just like how an electric toothbrush charges. This is for a device that will be used in the power industry, so we’re dealing with exposed, high voltage lines.

Do you know of an algorithm that I could use to figure out the max distance I can be away from a power line that’s, let’s say, 7kV to receive a 8v charge?

Is there a standard that states, “You lose 1kV for every inch you are away from the source?

I’ve been researching this for a few weeks now and have come up empty. Also, I’m open to any suggestions you may have. I don’t HAVE to use induction to charge it, it just seemed like a feasible source of power rather than a large battery or solar panel.

I greatly appreciate any assistance you might be able to give to me.

P.S. I'm not trying to steal power.

-Matt
 
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electric toothbrushes are basically one half of a transformer in each side, they butt right up against each other and that's how they work.

there are other types of "wireless" charging using radio frequencies. (analog radio is a simple model of transmitting power across air medium).

If you are designing this like the toothbrush, you should be able to use basic transformer equations describing conductance versus distances the coils are apart.
 
Thanks for your reply hxtasy, do you know that formula or a link to it? I want to be as far away from the power line as possible.
 
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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