GATE EE 2017 Set 2 | Error Analysis and Measurement Question 1 | Electrical and Electronics Measurement

GATE EE 2017 Set 2

MCQ (Single Correct Answer)

-0.3

Two resistors with nominal resistance values $${R_1}$$ and $${R_2}$$ have additive uncertainties $$\Delta {R_1}$$ and $$\Delta {R_2},$$ respectively. When these resistances are connected in parallel, the standard deviation of the error in the equivalent resistance $$R$$ is

$$ \pm \sqrt {{{\left( {{{\partial R} \over {\partial {R_1}}}\Delta {R_1}} \right)}^2} + {{\left( {{{\partial R} \over {\partial {R_2}}}\Delta {R_2}} \right)}^2}} $$

$$ \pm \sqrt {{{\left( {{{\partial R} \over {\partial {R_2}}}\Delta {R_1}} \right)}^2} + {{\left( {{{\partial R} \over {\partial {R_1}}}\Delta {R_2}} \right)}^2}} $$

$$ \pm \sqrt {{{\left( {{{\partial R} \over {\partial {R_1}}}} \right)}^2}\Delta {R_2} + {{\left( {{{\partial R} \over {\partial {R_2}}}} \right)}^2}\Delta {R_1}} $$

$$ \pm \sqrt {{{\left( {{{\partial R} \over {\partial {R_1}}}} \right)}^2}\Delta {R_1} + {{\left( {{{\partial R} \over {\partial {R_2}}}} \right)}^2}\Delta {R_2}} $$

GATE EE 2017 Set 1

Numerical

-0

The following measurements are obtained on a single phase load: $$V = 220 V$$ $$ \pm $$$$1$$%. $${\rm I}$$$$= 5.0$$ $$A$$ $$ \pm \,1$$% and $$W=555$$ $$W$$ $$ \pm \,2$$%. If the power factor is calculated using these measurements, the worst case error in the calculated power factor in percent is _________. (Give answer up to one decimal place.)

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GATE EE 2015 Set 2

Numerical

-0

A capacitive voltage divider is used to measure the bus voltage V_bus in a high-voltage 50Hz AC system as shown in the figure. The measurement capacitors C₁ and C₂ have tolerances of $$ \pm $$10% on their nominal capacitance values. If the bus voltage V_bus is 100 kV rms, the maximum rms output voltage V_out (in kV), considering the capacitor tolerances, is __________. GATE EE 2015 Set 2 Electrical and Electronics Measurement - Error Analysis and Measurement Question 9 English