A Simple Magnetostatic Sensing Method for Assessing the Local Hysteresis Properties in Ferromagnetic Sheet Materials

<table>Variation in (normalized) <svg height="14.2375" id="M65" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 22.137501 14.2375" width="22.137501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.2375)">
<g transform="translate(72,-60.61)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐻</tspan>
</text>
<text transform="matrix(1,0,0,-1,-61.03,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐿</tspan>
</text>
</g>
</g>
</svg> with distance <svg height="7.1624999" id="M66" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1625)">
<g transform="translate(72,-66.27)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
</text>
</g>
</g>
</svg>. Note that <svg height="14.2375" id="M67" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 22.137501 14.2375" width="22.137501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.2375)">
<g transform="translate(72,-60.61)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐻</tspan>
</text>
<text transform="matrix(1,0,0,-1,-61.03,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐿</tspan>
</text>
</g>
</g>
</svg> is symmetrical around the origin, has peak values of <svg height="12.2375" id="M68" style="vertical-align:-1.09097pt" version="1.1" viewbox="0 0 53.8125 12.2375" width="53.8125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.2375)">
<g transform="translate(72,-62.21)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">±</tspan>
<tspan style="font-size: 12.50px; " x="8.5645552" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="14.816055" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="17.941805" y="0">8</tspan>
<tspan style="font-size: 12.50px; " x="24.193304" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="30.444805" y="0">8</tspan>
<tspan style="font-size: 12.50px; " x="36.696304" y="0">7</tspan>
</text>
</g>
</g>
</svg> at <svg height="12.2375" id="M69" style="vertical-align:-1.09097pt" version="1.1" viewbox="0 0 58.349998 12.2375" width="58.349998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.2375)">
<g transform="translate(72,-62.21)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
<tspan style="font-size: 12.50px; " x="10.339981" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.380369" y="0">±</tspan>
<tspan style="font-size: 12.50px; " x="30.944925" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="37.196426" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="40.322174" y="0">5</tspan>
</text>
</g>
</g>
</svg>, and becomes only <svg height="12.2375" id="M70" style="vertical-align:-1.09097pt" version="1.1" viewbox="0 0 61.625 12.2375" width="61.625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.2375)">
<g transform="translate(72,-62.21)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">±</tspan>
<tspan style="font-size: 12.50px; " x="8.5645552" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="14.816055" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="17.941805" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="24.193304" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="30.444805" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="36.696304" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="42.947803" y="0">5</tspan>
</text>
</g>
</g>
</svg> at <svg height="12.2375" id="M71" style="vertical-align:-1.09097pt" version="1.1" viewbox="0 0 46.625 12.2375" width="46.625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.2375)">
<g transform="translate(72,-62.21)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
<tspan style="font-size: 12.50px; " x="10.339981" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.380369" y="0">±</tspan>
<tspan style="font-size: 12.50px; " x="30.944925" y="0">5</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Sensors

fig3

Figure 3

Figure 3: A Simple Magnetostatic Sensing Method for Assessing the Local Hysteresis Properties in Ferromagnetic Sheet Materials 