1
GATE ECE 1995
+1
-0.3
Consider a DC voltage source connected to a series R-C circuit. When the steady-state reaches, the ratio of the energy stored in the capacitor to the total energy supplied by the voltage source, is equal to
A
0.362
B
0.00
C
0.632
D
1.000
2
GATE ECE 1995
+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,$$respectively 3 GATE ECE 1995 Fill in the Blanks +1 -0 A series$$R$$-$$L$$-$$C$$circuit has a$$Q$$of$$100$$and an impedance of$$\left( {100 + j0} \right)\,\Omega $$at its resonant angular frequency of$${10^7}$$rad/sec. The values of$$R$$and$$L$$are:$$R=$$______ ohms.$$L=$$________Henries. 4 GATE ECE 1995 Subjective +5 -0 Find the current-transfer-ratio,$${{I_2}}$$/$${{I_1}}$\$, for the network shown below (Fig). Also, mark all branch currents.
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