1
GATE EE 1998
+2
-0.6
The effective inductance of the circuit across the terminals $$A,B$$ in the Figure shown below is
A
$$9$$ $$H$$
B
$$21$$ $$H$$
C
$$11$$ $$H$$
D
$$6$$ $$H$$
2
GATE EE 1998
+2
-0.6
Viewed from the terminals $$A, B$$ the following circuit shown in Figure can be reduced to an equivalent circuit of a single voltage source in series with a single resistor with the following parameters:
A
$$5$$ Volt source in series with $$10\,\,\Omega$$ resistor
B
$$7$$ Volt source in series with $$2.4\,\,\Omega$$ resistor
C
$$15$$ Volt source in series with $$2.4\,\,\Omega$$ resistor
D
$$1$$ Volt source in series with $$10\,\,\Omega$$ resistor
3
GATE EE 1998
Subjective
+5
-0
The switch in the following circuit, shown in Fig. has been connected to the $$12V$$ source for a long time. At $$t=0,$$ the switch is thrown to $$24$$ $$V$$.

$$L = 2\,H,\,\,{R_1} = 10\,\Omega ,\,\,{R_2} = 2\,\Omega ,\,\,C = 0.25\,\mu F$$
$$(a)$$ Determine $${i_L}\left( 0 \right)$$ and $${V_C}\left( 0 \right)$$
$$(b)$$ Write the differential equation governing $${V_C}\left( t \right)$$ for $$t>0$$
$$(c)$$ Compute the steady state value of $${V_C}\left( t \right)$$

4
GATE EE 1998
+1
-0.3
A sinusoidal source of voltage $$V$$ and frequency $$f$$ is connected to a series circuit of variables resistance, $$R$$ and a fixed reactance, $$X.$$ The locus of the tip of the current phasor, $$I$$, as $$R$$ is varied from $$0$$ to $$\infty$$ is
A
a semicircle with a diameter of $$V/X.$$
B
a straight line with a slope of $$R/X.$$
C
an ellipse with $$V/R$$ as major axis.
D
a circle of radius $$R/X$$ and origin at $$\left( {0,\,\,\,V/2} \right).$$
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