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1

### GATE EE 2012

In the circuit shown, an ideal switch $$S$$ is operated at $$100$$ $$kHz$$ with a duty ratio of $$50%$$. Given that $$\Delta {i_c}$$ is $$1.6$$ $$A$$ peak-to-peak and $${{\rm I}_0}$$ is $$5 A$$ $$dc,$$ the peak current in $$S$$ is
A
$$6.6$$ $$A$$
B
$$5.0$$ $$A$$
C
$$5.8$$ $$A$$
D
$$4.2$$ $$A$$
2

### GATE EE 2011

A voltage commutated chopper circuit, operated at $$500Hz,$$ is shown below. If the maximum value of load current is $$10A,$$ then the maximum current through the main $$(M)$$ and auxiliary $$(A)$$ thyristors will be
A
$${i_{M\max }} = 12\,A$$ and $$\,{i_{A\max }} = 10\,A$$
B
$${i_{M\max }} = 12\,A$$ and $$\,{i_{A\max }} = 2\,A$$
C
$${i_{M\max }} = 10\,A$$ and $$\,{i_{A\max }} = 12\,A$$
D
$${i_{M\max }} = 10\,A$$ and $$\,{i_{A\max }} = 8\,A$$
3

### 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
$$26\mu s$$
4

### 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
$$10\sin \left( {{{10}^4}t} \right)A$$
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