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GATE IN 2019 Official Paper

Option 2 : 100

CT 1: Ratio and Proportion

2846

10 Questions
16 Marks
30 Mins

Given that,

Sensitivity = 30 mV/kPa

Range = 0 kPa to 100 kPa

Full scale voltage = 30 × 10^{-3} × 100 = 3 V

Noise of readout circuit = 0.3 mV

V_{ref} = 3.0003V

Number of bits = n = 10

\(Resolution = \frac{{{V_{ref}}}}{{{2^n} - 1}} = \frac{{3.0003}}{{{2^{10}} - 1}} = 2.933 \times {10^{ - 3}}V\)

= 0.00293V

Smallest readout = 0.00293V.

Resolution at input side \(= \frac{{0.00293}}{{30 \times {{10}^{ - 3}}}} = 97.66pa\)

≈ 100 pa