1
GATE EE 2001
Subjective
+5
-0
Determine the resonance frequency and the $$Q$$ $$-$$ factor of the circuit shown in Fig.

GATE EE 2001 Electric Circuits - Sinusoidal Steady State Analysis Question 6 English
Data: $$\,\,\,\,\,R = 10\,\Omega ,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C = 3\,\mu F,$$
$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{L_1} = 40\,mH,\,\,\,\,\,\,\,\,{L_2} = 10\,mH$$
and $$\,\,\,\,\,\,\,\,M = 10\,mH.$$
2
GATE EE 2001
MCQ (Single Correct Answer)
+1
-0.3
A passive 2-port network is in a steady state.Compare to its input, the steady state output can never offer
A
higher voltage
B
lower impedance
C
greater power
D
better regulation
3
GATE EE 2001
MCQ (Single Correct Answer)
+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 $$\,\,3.435\,\Omega $$
4
GATE EE 2001
MCQ (Single Correct Answer)
+2
-0.6
A $$100$$ $$\mu A$$ ammeter has an internal resistance of $$100\,\Omega $$. For extending its range to measure $$500$$ $$\mu A$$, the shunt required is of resistance (in $$\Omega $$)
A
$$20.0$$
B
$$22.22$$
C
$$25.0$$
D
$$50.0$$
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