error analysis

The maximum percentage error in the equivalent resistance of two parallel connected resistors of $100 \Omega$ and $900 \Omega$ with each having a maximum $5 \%$ error is __________...

A balanced Wheatsone bridge ABCD has the following arm resistances : R AB = 1 k$$\Omega$$ $$\pm$$ 2.1%; R BC = 100 $$\Omega$$ $$\pm$$ 0.5%; R CD is an unknown resistance; R DA = 30...

The following measurements are obtained on a single phase load: V = 220 V ±1%, I = 5.0 A ± 1% and W = 555 W ± 2%. If the power factor is calculated using these measurements, the wo...

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 con...

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 po...

Suppose that resistors $${R_1}$$ ܴand $${R_2}$$ ܴare connected in parallel to give an equivalent resistor $$R.$$ If resistors ܴ$${R_1}$$ and $${R_2}$$ ܴ have tolerance of $$1$$% ea...

A $$4\,{1 \over 2}$$ digit $$DMM$$ has the error specification as $$0.2$$% of reading $$+10$$ counts. If a dc voltage of $$100$$ $$v$$ is read on its $$200$$ $$V$$ full scale. The...

A variable $$'w'$$ is related to three other variables $$x, y, z$$ as $$w=xy/z.$$ The variables are measured with meters of accuracy$$ \pm $$ $$0.5$$% reading, $$ \pm 1\% $$ of ful...

Resistances $${R_1}$$ and $${R_2}$$ have, respectively, nominal values of $$10\Omega $$ and $$5\Omega ,$$ and tolerances of $$ \pm 5\% $$ and $$ \pm 10\% $$. The range of values fo...

A resistance is measured by the voltmeter- ammeter method employing d.c. excitation and a voltmeter of very high resistance connected directly across the unknown resistance. If the...