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157.

In the figure shown, all elements used are ideal. For time t<0, S₁ remained closed and S₂ open. At t=0, S₁ is opened and S₂ is closed. If the voltage Vc₂ across the capacitor C₂ at t=0 is zero, the voltage across the capacitor combination at t=0₊ will be

[2 marks]
(A) 1V
(B) 2 V
(C) 1.5 V
(D) 3 V

asked in Electrical Engineering, 2009

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158.

The following circuit has R = 10kΩ , C = 10μ F . The input voltage is a sinusoid at 50Hz with an rms value of 10V. Under ideal conditions, the current i_s from the source is

[2 marks]
(A) 10 π mA leading by 90°
(B) 20 π mA leading by 90°
(C) 10 mA leading by 90°
(D) 10 π mA lagging by 90°

asked in Electrical Engineering, 2009

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159.

The trace and determinant of a 2 × 2 matrix are known to be -2 and -35 respectively. Its eigen values are [1 mark]
(A) -30 and -5
(B) -35 and -1
(C) -7 and 5
(D) 17.5 and -2

asked in Electrical Engineering, 2009

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160.

The asymptotic approximation of the log-magnitude vs frequency plot of a system containing only real poles and zeros is shown. Its transfer function is

[1 mark]
(A) 10(s+5)/[s(s+2)(s+25)]
(B) 1000(s+5)/[s²(s+2)(s+25)]
(C) 100(s+5)/[s(s+2)(s+25)]
(D) 80(s+5)/[s²(s+2)(s+25)]

asked in Electrical Engineering, 2009

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161.

The first two rows of Routh's tabulation of a third order equation are as follows.

s³
2 2

s² 4 4

This means there are [1 mark]
(A) two roots at s= ± j and one root in right half s-plane
(B) two roots at s = ±j2 and one root in left half s-plane
(C) two roots at s = ± j2 and one root in right half s-plane
(D) two roots at s = ±j and one root in left half s-plane

asked in Electrical Engineering, 2009

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162.

The polar plot of an open loop stable system is shown below. The closed loop system is

[1 mark]
(A) Always stable
(B) Marginally stable
(C) Unstable with one pole on the RH s-plane
(D) Unstable with two poles on the RH s-plane

asked in Electrical Engineering, 2009

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