GATE EE 2017 Question Paper (11-Feb-2017) (Shift 1)

The switch in the below figure was closed for a long time. It is opened at t = 0. The current in the inductor of 2 H for t ≥ 0, is

Only one of the real roots of f(x) = x⁶ – x – 1 lies in the interval 1 ≤ x ≤ 2 and bisection method is used to find its value. For achieving an accuracy of 0.001, the required minimum number of iterations is __________.

In the circuit shown below, the maximum power transferred to the resistor R is ________ W.

The magnitude of magnetic flux density (B) in micro Teslas (μT), at the centre of a loop of wire wound as a regular hexagon of side length 1 m carrying a current (I = 1 A ) and placed in vacuum as shown in the figure is __________. (Give the answer up to two decimal places.)

A 375 W, 230 V, 50 Hz, capacitor start single-phase induction motor has the following constants for the main and auxiliary windings (at starting): Z${}_m$ = (12.50 + j15.75) Ω (main winding), Zₐ = (24.50 + 12.75) Ω (auxiliary winding). Neglecting the magnetizing branch, the value of the capacitance (in μF) to be added in series with the auxiliary winding to obtain maximum torque at starting is ___________.