GATE IN 2016 Question Paper (31-Jan-2016) (Shift 2)

The current I${}_X$ in the circuit given below in milliampere is __________.

In the circuit shown below, Vₛ = 101 ∠0° V, R = 10 Ω, ωL = 100 Ω. The current Is is in phase with Vₛ. The magnitude of Iₛ (in mA) is _______.

A symmetrical three-phase three-wire RYB system is connected to a balanced delta-connected load. The RMS values of the line current and line-to-line voltage are 10 A and 400 V respectively. The power in the system is measured using the two wattmeter method. The first wattmeter connected between R-line and Y-line reads zero. The reading of the second wattmeter (connected between B-line and Y-line) in watt is _______.

In the strain gauge bridge circuit given below, R₁ = R₃ = R (1 − x) and R₂ = R₄ = R (1 + x), where R is 350 Ω. The voltage sources vₛ and vₙ represent the dc excitation and the undesired noise/interference, respectively. The value of capacitor C in microfarad that is required to ensure that the output across a and b is low-pass filtered with a cutoff frequency of 150 Hz is ________.

The voltage v(t) shown below is applied to the given circuit. v(t) = 3 V for t < 0 and v(t) = 6 V for t > 0. The value of current i(t) at t = 1 s, in ampere is _______.