1
GATE ECE 2002
Subjective
+5
-0
For network shown in Fig. $$R\, = \,1\,k\Omega $$
$${L_1} = 2\,H,\,{L_2} = 5\,H,\,{L_3}\, = \,1H,{L_4} = 4H\,\,\,$$ and $$C - 0.2\,\,\mu F.$$. The mutual inductances are $${M_{12}} = 3\,H$$ and $${M_{34}} = 2\,H$$.

Determine
(a) the equivalent inductance for the combination of $${L_3}$$ and $${L_4}$$,
(b) the equivalent inductance across the points A and B in the network,
(c) the resonant frequency of the network.

GATE ECE 2002 Network Theory - Sinusoidal Steady State Response Question 10 English
2
GATE ECE 2001
Subjective
+5
-0
For the circuit shown in the figure, determine the phasors E2, E0, I and I1. GATE ECE 2001 Network Theory - Sinusoidal Steady State Response Question 46 English
3
GATE ECE 2000
Subjective
+5
-0
For the circuit in Fig. Which is in steady state, GATE ECE 2000 Network Theory - Sinusoidal Steady State Response Question 11 English

(a)Find the frequency $${\omega _0}$$ at which the magnitude of the impedance across terminals a, b reaches maximum.

(b) Find the impedance across a, b at the frequency $${\omega _0}$$.

(c) If $${v_i}\left( t \right) = V\,\,\sin \left( {{\omega _0}t} \right),$$ find $${i_L}\left( t \right),\,\,{i_c}\left( t \right),{i_R}\left( t \right).$$

4
GATE ECE 1999
Subjective
+5
-0
A coil with a quality factor $$(Q)$$ of $$10$$ is put in series with a capacitor $${C_1}$$ of $$10\,\,\mu F,$$ and the combination is found to draw maximum current when a sinusoidal voltage of frequency $$50$$ $$Hz$$ is applied. A second capacitor $${C_2}$$ is now in parallel with the circuit. What should be the capacitance of $${C_2}$$ for combined circuit to act purely as a resistance for a sinusoidal excitation at a frequency of $$100$$ $$Hz$$? Calculate the rms current drawn by the combined circuit at $$100$$ $$Hz$$ if the applied voltage is $$100V$$ (rms).
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