1
GATE ECE 1995
MCQ (Single Correct Answer)
+1
-0.3
The current $$i(t)$$ through a $$10$$-$$\Omega $$ resistor in series with an inductance is given by
$$i(t)$$$$ = 3 + 4\sin \left( {100t + {{45}^ \circ }} \right) + 4\sin \left( {300t + {{60}^ \circ }} \right)\,\,A$$.

The RMS value of the current and the power dissipated in the circuit are

A
$$\sqrt {41} \,\,A,\,\,410\,W,$$ respectively
B
$$\sqrt {35} \,\,A,\,\,350\,W,$$ respectively
C
$$5\,A,\,\,250\,W,$$ respectively
D
$11\,A,\,\,1210\,W,$$ respectively
2
GATE ECE 1995
Subjective
+5
-0
Find the current-transfer-ratio, $${{I_2}}$$/$${{I_1}}$$, for the network shown below (Fig). Also, mark all branch currents. GATE ECE 1995 Network Theory - Two Port Networks Question 10 English
3
GATE ECE 1995
Subjective
+5
-0
Show that the system shown in Fig. is a double integator. In other words, prove that the transfer gain is given by
$${{{V_0}\,(s)} \over {{V_s}\,(s)}} = - {1 \over {{{(CR\,s)}^2}}}$$, assume ideal OP-Amp GATE ECE 1995 Network Theory - Two Port Networks Question 9 English
4
GATE ECE 1995
Subjective
+2
-0
For the 2-port network shown in Fig. determine the h-parameters. Using these parameters, calculate the output (port '2' ) $${v_2}$$, when the output port is terminated in a 3$$\Omega $$ resistance and a 1 V (DC) is applied at the input port ($${v_1}$$ = 1 V). GATE ECE 1995 Network Theory - Two Port Networks Question 3 English
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