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1

### GATE EE 2010

The L-C circuit shown in the figure has an inductance $$L=1mH$$ and a capacitance $$C = 10\mu F.$$

The $$L$$-$$C$$ circuit $$Q.13$$ is used to commutate a thyristor, which is initially carrying a current of $$5A$$ as shown in the figure below. The values and initial conditions of $$L$$ and $$C$$ are the same as in $$Q.13.$$ The switch is closed at $$t = 0.$$ If the forward drop is negligible, the time taken for the device to turn off is

A
$$52\mu s$$
B
$$156\mu s$$
C
$$312\mu s$$
D
$$26\mu s$$
2

### GATE EE 2010

The L-C circuit shown in the figure has an inductance $$L=1mH$$ and a capacitance $$C = 10\mu F.$$

The initial current through the inductor is zero, while the initial capacitor voltage is $$100$$ $$V.$$ The switch is closed at $$t = 0.$$ The current $$i$$ through the circuit is:

A
$$5cos\left( {5 \times {{10}^3}t} \right)A$$
B
$$5\sin \left( {{{10}^4}t} \right)A$$
C
$$10cos\left( {5 \times {{10}^3}t} \right)A$$
D
$$10\sin \left( {{{10}^4}t} \right)A$$
3

### GATE EE 2009

In the chopper circuit shown, the main thyristor $$\left( {{T_M}} \right)$$ is operated at a duty ratio of $$0.8$$ which is much larger than the commutation interval. If the maximum allowable reapplied $${{dV} \over {dt}}$$ on $${T_M}$$ is $$50$$ $$V/\mu s,$$
what should be the theoretical minimum value of $${C_1}?$$. Assume current ripple through $${L_0}$$ to be negligible.
A
$$0.2\,\,\mu \,F$$
B
$$0.02\,\,\mu \,F$$
C
$$2\,\,\mu \,F$$
D
$$20\,\,\mu \,F$$
4

### GATE EE 2008

In the circuit shown in the figure, the switch is operated at a duty cycle of $$0.5.$$ A large capacitor current is connected across the load. The inductor current is assumed to be continuous.

The average voltage across the load and the average current through the diode will respectively be

A
$$10$$ $$V,$$ $$2A$$
B
$$10$$ $$V,$$ $$8A$$
C
$$40$$ $$V,$$ $$2A$$
D
$$40$$ $$V,$$ $$8A$$
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