Table 4 Interference/offset reduction achieved with Lorentz routing symmetric design (*) and Lorentz current shielding (**)

From: Design, fabrication, characterization and reliability study of CMOS-MEMS Lorentz-force magnetometers

Device

Measurement

Device

Admittance

Vdrop

Vw (RMS)

\({V}_{sh}^{int}\) (RMS)

Magnetic

type

conditions

impedances

offset

(iLRwire)

Eq. (38)

Eq. (37)

offset

Z

L = 600 μm

g = 0.5 μm

Q = 770

nw = 2, nB = 10

\({i}_{L}=51.1{{{\rm{\mu }}}}{{{{\rm{A}}}}}^{peak}\\=\text{square wave}\\{V}_{1-2}^{dc}=0.5{{{\rm{V}}}}\\{V}_{1-2}^{ac}=10{{{{\rm{mV}}}}}^{RMS}\)

Cws = 6.20 pF

Css = 1.36 pF

\(\begin{array}{*{20}{l}} {G}_{off}^{Z}=0.459 \, {\upmu}{\rm{S}} \end{array}\)

295 mV → 

3.08 mV → 

0.428 μV

0.43 μT

Zsh = 25Ω

Rwire = 4.50 kΩ

\(\begin{array}{*{20}{l}}{B}_{off}^{Z}=3.39 \, {\upmu}{\rm{S}}\end{array}\)

\({\left(\frac{1}{45}\right)}^{* }\)

\({\left(\frac{1}{7184}\right)}^{* * }\)

  

XY

L = 600 μm

g = 0.9 μm

Q = 1575

nw = 4, nB = 6

\({i}_{L}=52.5{{{\rm{\mu }}}}{{{{\rm{A}}}}}^{peak}\\={{{\rm{square}}}}\,{{{\rm{wave}}}}\\{V}_{1-2}^{dc}=1{{{\rm{V}}}}\\{V}_{1-2}^{ac}=10\,{{{{\rm{mV}}}}}^{RMS}\)

Cws = 3.56 pF

Css = 2.9 pF

\(\begin{array}{*{20}{l}} {G}_{off}^{Z}=0.321\,{\upmu}{\rm{S}} \end{array}\)

282 mV → 

5.17 mV → 

0.362 μV

0.13 μT

Zsh = 25Ω

Rwire = 4.22 kΩ

\(\begin{array}{*{20}{l}}{B}_{off}^{Z}=2.88\,{\upmu }{\rm{S}}\end{array}\)

\({\left(\frac{1}{26}\right)}^{* }\)

\({\left(\frac{1}{14301}\right)}^{* * }\)