1
GATE EE 2013
+2
-0.6
$$\oint {{{{z^2} - 4} \over {{z^2} + 4}}} dz\,\,$$ evaluated anticlockwise around the circular $$\left| {z - i} \right| = 2,$$ where $$i = \sqrt { - 1}$$, is
A
$$- 4\pi$$
B
$$0$$
C
$$2 + \pi$$
D
$$2+2$$
2
GATE EE 2013
+2
-0.6
Thyristor $$T$$ in the figure below is initially off and is triggered with a single pulse of width $$10\mu s.$$ It is given that $$L = \left( {{{100} \over \pi }} \right)\mu H$$ and $$C = \left( {{{100} \over \pi }} \right)\mu F.$$ Assuming latching and holding currents of the thyristor are both zero and the initial charge on $$C$$ is zero, $$T$$ conducts for
A
$$10\mu s$$
B
$$50$$ $$s$$
C
$$100\mu s$$
D
$$200\mu s$$
3
GATE EE 2013
+2
-0.6
In the figure shown below, the chopper feeds a resistive load from a battery source. $$MOSFET$$ $$Q$$ is switched at $$250$$ $$kHz,$$ with a duty ratio of $$0.4.$$ All elements of the circuit are assumed to be ideal.

The average source current in Amps in steady-state is

A
$$3/2$$
B
$$5/3$$
C
$$5/2$$
D
$$15/4$$
4
GATE EE 2013
+2
-0.6
In the figure shown below, the chopper feeds a resistive load from a battery source. $$MOSFET$$ $$Q$$ is switched at $$250$$ $$kHz,$$ with a duty ratio of $$0.4.$$ All elements of the circuit are assumed to be ideal.

The PEAK-TO-PEAK source current ripple in $$Amps$$ is

A
$$0.96$$
B
$$0.144$$
C
$$0.192$$
D
$$0.288$$
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