# GATE Electrical Engineering Higher Questions and Answers Paper 2013 Part 4

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25. (Topic: Electric Circuits)

(Subtopic: Thevenin’s theorem)

(Sub-Subtopic: Thevenin’s voltage)

In the circuit shown below, if the source voltage then the Thevenin’s equivalent voltage in Volts as seen by the load resistance is

(A)

(B)

(C)

(D)

Answer: (C)

26. (Topic: Electric Circuits)

(Subtopic: Sinusoidal steady‐state analysis)

(Sub-Subtopic: Safe voltage across capacitor)

Three capacitors,, and, whose values are 10μF, 5μF, and 2μF respectively, have breakdown voltages of 10V, 5V, and 2V respectively. For the interconnection shown, the maximum safe voltage in Volts that can be applied across the combination and the corresponding total charge in μC stored in the effective capacitance across the terminals are respectively

(A) 2.8 and 36

(B) 7 and 119

(C) 2.8 and 32

(D) 7 and 80

Answer: (C)

27. (Topic: Analog and Digital Electronics)

(Subtopic: Characteristics of diodes)

(Sub-Subtopic: Diodes in forward and reverse bias)

A voltage Volts is applied across YZ. Assuming ideal diodes, the voltage measured across WX in Volts is

(A)

(B)

(C)

(D) 0 for all

Answer: (D)

28. (Topic: Electromagnetic Fields)

(Subtopic: Electric Field Intensity)

(Sub-Subtopic: Energy in dielectric medium)

A dielectric slab with 500 mm × 500 mm cross-section is 0.4 m long. The slab is subjected to a uniform electric field of kV/mm. The relative permittivity of the dielectric material is equal to 2. The value of constant is F/m. The energy stored in the dielectric in Joules is

(A)

(B)

(C)

(D)

Answer: (C)

29. (Topic: Engineering Mathematics)

(Subtopic: Linear Algebra)

(Sub-Subtopic: Eigen vector)

A matrix has eigenvalues –1 and –2. The corresponding eigenvectors are and respectively. The matrix is

(A)

(B)

(C)

(D)

Answer: (D)

30. (Topic: Engineering Mathematics)

(Subtopic: Complex Variables)

(Sub-Subtopic: Cauchy’s integral formula)

Evaluated anticlockwise around the circle, where, is

(A)

(B) 0

(C)

(D)

Answer: (A)

31. (Topic: Analog and Digital Electronics)

(Subtopic: Combinational and Sequential logic circuits)

(Sub-Subtopic: T flip-flop)

The clock frequency applied to the digital circuit shown in the figure below is 1 kHz. If the initial state of the output Q of the flip-flop is ‘0’, then the frequency of the output waveform Q in kHz is

(A) 0.25

(B) 0.5

(C) 1

(D) 2

Answer: (B)