# NTA NET Electrical Engineering GATE 2019 Higher Questions and Answers Part 4

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**(Topic: Analog and Digital Electronics)**

**(Subtopic: Combinational and Sequential logic circuits)**

**(Sub-Subtopic: Logic gates)**

In the circuit shown below, X and Y are digital inputs, and Z is a digital output. The equivalent circuit is a

NAND gate

NOR gate

XOR gate

XNOR gate

**(Topic: Electromagnetic Fields)**

**(Subtopic: Divergence)**

If and , then at (1,1,1) is _________.

**(Topic: Engineering Mathematics)**

**(Subtopic: Probability and Statistics)**

**(Sub-Subtopic: Poisson distribution)**

The probability of a resistor being defective is 0.02. There are 50 such resistors in a circuit. The probability of two or more defective resistors in the circuit (round off to two decimal places) is ____________.

**(Topic: Electric Circuits)**

**(Subtopic: Transient response of DC and AC networks)**

**(Sub-Subtopic: Source free RC network)**

A 0.1 F capacitor charged to 100 V is discharged through 1 k resistor. The time in ms (round off to two decimal places) required for the voltage across the capacitor to drop to 1 V is ____________.

**(Topic: Electric Circuits)**

**(Subtopic: Milliman’s Theorem)**

The current flowing in the circuit shown below in amperes is _____________.

**(Topic: Electric Circuits)**

**(Subtopic: Power and power factor in AC circuits)**

**(Sub-Subtopic: Average power)**

The voltage across and the current through a load are expressed as follows

The average power in watts (round off to one decimal place) consumed by the load is _________.

**(Topic: Electromagnetic Fields)**

**(Subtopic: Magnetic circuits)**

**(Sub-Subtopic: Calculation of reluctance)**

The magnetic circuit shown below has uniform cross-sectional area and air gap of 0.2 cm. The mean path length of the core is 40 cm. Assume that leakage and fringing fluxes are negligible. When the core relative permeability is assumed to be infinite, the magnetic flux density computed in the air gap is 1 tesla. With same Ampere-turns, if the core relative permeability is assumed to be 1000 (linear), the flux density in tesla (round off to three decimal places) calculated in the air gap is _______.