1
GATE EE 2014 Set 2
+2
-0.6
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 $$1$$% each, the equivalent resistor ܴ$$R$$ for resistors ܴ$${R_1}$$$$=300$$ $$\Omega$$ and ܴ$${R_2} = 200\Omega$$ will have tolerance of
A
$$0.5\%$$
B
$$1\%$$
C
$$1.2\%$$
D
$$2\%$$
2
GATE EE 2006
+2
-0.6
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 full scale value and $$\pm 1.5\%$$ reading the actual readings of the three meters are $$80,20$$ and $$50$$ with $$100$$ being the full scale value for all three. The maximum uncertainty in the measurement of $$'w'$$ will be
A
$$\pm 0.5\% \,$$ rdg
B
$$\pm 5.5\% \,$$ rdg
C
$$\pm 6.7\% \,$$ rdg
D
$$\pm 7.0\% \,$$ rdg
3
GATE EE 2005
+2
-0.6
The set-up in the figure is used to measure resistance $$R$$. The ammeter and voltmeter resistances are $$0.01$$$$\Omega$$ and $$2000$$$$\Omega$$, respectively. Their readings are $$2A$$ and $$180$$ $$V$$, respectively, giving a measured resistance of $$90$$ $$\Omega$$. The percentage error in the measurement is
A
$$2.25$$%
B
$$2.35$$%
C
$$4.5$$ %
D
$$4.71$$%
4
GATE EE 2001
+2
-0.6
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 for the parallel combination of $${R_1}$$ and $${R_2}$$ is
A
$$3.077\,\Omega \,\,\,$$ to $$\,\,3.636\,\Omega$$
B
$$2.805\,\Omega \,\,\,$$ to $$\,\,3.371\,\Omega$$
C
$$3.237\,\Omega \,\,\,$$ to $$\,\,3.678\,\Omega$$
D
$$3.192\,\Omega \,\,\,$$ to $$\,\,3.435\,\Omega$$
EXAM MAP
Medical
NEET