Magnetic field visualisation and inductance calculation of a simple configuration surface coil at low magnetic field

Abstract

We propose a simple method based on the quasi-static approach to visualise the magnetic field created by a simple configuration coil using the calculation for coil inductance. Faraday's law was used to calculate the inductance value and to simulate the magnetic field produced by circular-shaped and square-shaped coils. A software tool was developed to compute the coil inductance, and display the simulated magnetic field. We compared the predicted measured values of inductance, and performed a comparison plot of area versus inductance for both coils. Three dimensional plots of simulated fields are also shown. A circular-shaped coil was built using the method reported here, and brain images were acquired. This approach proved to be useful as an aid to visualise the magnetic field generated by simple coil geometries, and, simultaneously, calculate their coil inductance values.