GATE EE 2019 Question Paper (09-Feb-2019) (Shift 2)

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

The current I flowing in the circuit shown below in amperes is ________.

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

$v\left(t\right)=-170\sin \left(377t-\frac{\pi }{6}\right)V$

$i\left(t\right)=8\cos \left(377t+\frac{\pi }{6}\right)A$

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

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 ___________.

A single-phase transformer of rating 25 kVA, supplies a 12 kW load at power factor of 0.6 lagging. The additional load at unity power factor in kW (round off to two decimal places) that may be added before this transformer exceeds its rated kVA is __________.