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GATE 2003 : Electronics And Communication Engineering

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For more files visit www.educationobserver.com/forum Q.1 Q.30 Carry One Mark Each 1. The minimum number of equations required to analyze the circuit shown in Fig.Q.1 is C C R ~ (a) 3 2. R (b) 4 R C R (c) 6 (d) 7 A source of angular frequency 1 rad/sec has a source impedance consisting of 1 resistance in series with 1 H inductance. The load that will obtain the maximum power transfer is (a) 1 resistance (b) 1 resistance in parallel with 1 H inductance (c) 1 resistance in series with 1 F capacitor (d) 1 resistance in parallel with 1 F capacitor 3. A series RLC circuit has a resonance frequency of 1 kHz and a quality factor Q = 100. If each R, L and C is doubled from its original value, the new Q of the circuit is (a) 25 4. (b) 50 The Laplace transform of i(t) is given by I ( s ) = As t (d) 200 2 s (1 + s ) , the value of i(t) tends to (a) 0 5. (c) 100 (b) 1 (c) 2 (d) The differential equation for the current i(t) in the circuit of Figure Q.5 is (a) 2 (b) d 2i dt d2i +2 +2 dt 2 (c) 2 2 d 2i dt 2 (d) d i dt 2 di + 2i ( t ) = cos t dt +2 2 +2 di + i ( t ) = sin t dt di + i ( t ) = cos t dt di + 2i ( t ) = sin t dt + i(t) 2 2H 1F sin t -

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