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I want to transfer electical power wirelessly from a transmitter to a receiver coil.

Input energy is provided by a single phase step-down transformer - 230V/12V AC, 50 Hz, 1,000 mA.

Using the 12 V AC output I want to transfer as much of the available power wirelessly from transmitter coil to the receiver coil over a distance of 5mm. How can that be done ?
What calculations should i solve so as to achieve this ?

I want to transmit across 5 millimeters.
The radii of the transmitter and receiver coils I am currently using are are 5cm and 2cm respectively

After transmitting it to the receiver coil, I wish to rectify and filter it and then regulate it to 5V DC use it to charge a battery.

I want 5V DC at the end of the circuit, but how can I accomplish that ?

What calculations and equipment specifications do I have to use so that I can figure this out?

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    \$\begingroup\$ Across how much distance? And how much space do you have available for transmitting and receiving devices? \$\endgroup\$
    – The Photon
    Apr 7 '19 at 15:19
  • \$\begingroup\$ I edited your title to match the requirements stated in your text. If you really wanted the system to be both 50 Hz and 1000 Hz, we can discuss why that doesn't make sense. \$\endgroup\$
    – The Photon
    Apr 7 '19 at 15:21
  • \$\begingroup\$ hindawi.com/journals/jece/2014/906537 \$\endgroup\$ Apr 7 '19 at 15:25
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    \$\begingroup\$ You do not specify how far you want to transmit the energy. \$\endgroup\$
    – TimWescott
    Apr 7 '19 at 15:26
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    \$\begingroup\$ With the new information added, presumably all the close votes are no longer valid. At least I don't understand what's "too broad" with this question now. \$\endgroup\$
    – pipe
    Apr 7 '19 at 21:55