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Consider a 3 digit display for a DVM with an accuracy of ± 0.5 % for a reading of ± 1 digit. Compute the error for 5 V reading on a 10 V range.(a) ± 10 V(b) ± 0.035 V(c) ± 0.05 V(d) ± 1 VThis question was addressed to me in an international level competition.My question is taken from Resolution and Sensitivity topic in section Electronic Instruments of Electrical Measurements

Answer»

Right answer is (b) ± 0.035 V

Best EXPLANATION: The resolution of a DVM is,

R = ^1⁄10^N

Here, n is 3. SUBSTITUTING n=3 in the equation for resolution we get,

R = ^1⁄10^3 = 10^-3 = 0.001

For 10 V range, the resolution is,

R10V = 10 × 0.001 = 0.01 V

Consider the reading of 5 V.

Error = ± 0.5 % of 5 = ^0.5⁄100 × 5 = ± 0.025 V

1 digit error = ± 0.01 V

 Total error = ±(0.025 V+ 0.01 V)=± 0.035 V.



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