# Transformation Equation of 2 Sensor Hall Effect

#### Juan Andrew Sasongko

Joined Dec 4, 2017
18
Hi All!
I've been reading an article from Journal of Physics, but cant understand a few things.
The research (can I share the article pdf here?) aimed to widen working area of Hall Effect UGN3503UA (Sensor 1) with the reference of A1302UA (Sensor 2).
Why? because UGN3503UA linearity is only 0-900G, while A1302 is 0-1400. See image below  Allright so then the researcher divided the equation into 2 parts, 0-900G and 900-1400G.
I'll just ask and discuss for the 0-900G part here.
This is the curve of Sensor 1  This is the curve of Sensor 2  From both curve we get 2 equation here.
(1) B(V1) = 548,87 V1 - 1382,6
(2) B(V2) = 1077 V2 - 2653,3

After that the article said this:
"Transformation equation is done in two ranges. For the range of 0 to 900 gauss, because the magnetic field measured by the sensor is the same value of the magnetic field, the value of equation (1) will be equal to the value of equation (2)." And so we get equation 3:
(3) B(V1) = B(V2)

"Completion of the equation (3) yields as a function of V1 V2, such as the equation (4)"
(4) V2(V1) = (548,87 V1 + 1270,7) / 1077

"Equation (4) is the transformation equations to get the same voltage as the voltage sensor 2. Then
equation (4) is substituted into the equation (2) and will generate the equation (5)."

(5) B(V1) = 1077 * ((548,87V1 + 1270,7)/1077) - 2653,3

"Equation (5) indicates a value approach magnetic field measured by the sensor 2 will be based on
the value of the voltage that is read by the sensor 1 measuring range 0-900 gauss. Equation (5) is the
result of the transformation equation thus replacing the equation (1)."

But please take a look again, equation 5 and equation 1 is literally same. This is where I want to ask
"How to transform / What is the right equation so that I can widen the work of my sensor (UGN3503UA)?"

If you need anything, I don't mind sharing the pdf or whatever