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Find coefficients with evaluating output voltage at pressure

A Wheatstone bridge based pressure transducer includes a transfer characteristic specified by the relationship as given below:

Vout = bp + cp2

Here p is the input pressure applied to the transducer that is calibrated for end point accuracy. So, the transducer provides a full scale output voltage of 100mV for an input pressure of 10psi while operating from a supply voltage of 5Volt.

In that aces the maximum error in the output signal of the transducer must not exceed a equivalent error in pressure of 0.1psi, find out the span sensitivity of the equivalent perfect linear transducer and the values of the coefficients 'b' and 'c' within the relationship above.

Verify here the coefficients are correct through evaluating the output voltage at a pressure where the error is identified.

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