I need to calculate the sensitivity from the coil using Biot Savart's law how can I calculate current using the position values of cylindrical coil and the rotation matrix the cylindrical coils are arranged as polygon also we are not considering any electrical ( like resistance or inductance ) parameters. How can I formulate the tripple integral part as a function of current and position
- Would it be possible to show a diagram ?.
- I assume you have a cycloresolver ?. Meaning, there is one static coil, where an AC voltage is put on, and a second coil rotating inside this first coil ?.
Then,
V2 = d(n.PHI)/dt, with n.PHI the flux the goes through the second coil. It need to be summed for all windings.
For the first coil, you can put a similar equation:
V1 = d(n.PHI1)/dt + RI
(RI is the ohmic drop).
You need to solve this system to find the voltage on the second coil. You can do approximations (eg inductance constant in the first coil), if you want to do it accurate, you need software to solve these equations in 2 or 3 dimensions.
Please consider.To obtain helpful responses it would be nice if Henri Cloetens' suggestion of a diagram and a clearer statement of the problem (what is given and what is required) is formulated.
Good luck
Cheers
Thanks for your time but the problem I had is in different scenario, In context MRI machine is my problem
According to the Biot-savart law, you need to know the sourcing magnitude current, and its distance vector, which generates field. Cylidrical coil can be taken as uniformly distributed source/sink. At a distance d, amount of field will induce the EMF to sink coil. Produced current magnitude, of course, depend upon loading of sink coil.
The impedance part (Losses) included in a Biot-savart equation in the distance form.
With the above considerations, (Constant source, constant distance) the sensitivity will depend upon the sink coil turns, core & sink coil losses. This can be improved by reducing distance between source and sink to the possible extent and/or increasing the source current magnitude to the possible extent
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