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ESE Electrical 2015 Paper 1: Official Paper

Option 4 : +0.31 V and + 4.7 V

CT 1: Ratio and Proportion

2536

10 Questions
16 Marks
30 Mins

__Concept:__

Resolution: It is defined as the smallest change in the analog output voltage corresponding to a change of one bit in the digital output.

The percentage resolution of an n-bit DAC is \( = \frac{1}{{{2^n} - 1}} \times 100\)

The resolution of an n-bit DAC with a range of output voltage from 0 to V is given by \( = \frac{V}{{{2^n} - 1}}volts\)

V is the full-scale output voltage

It is also equal to, resolution \(=\frac{{{V_R}}}{{{2^n}}}\)

__Calculation:__

Number of bits (n) = 4

Resolution \( = \frac{5}{{{2^4}}} = 0.3125\)

As it is an inverting amplifier, the resolution is negative.

Therefore, the resolution = 0.31 V

Full scale voltage = Resolution × (2^{4} – 1)

= 0.3125 × 15 = 4.7 V