GATE IN 2021 Question Paper (06-Feb-2021) (Shift 1)

Consider a system with transfer-function G(s) = 2/(s + 1). A unit step function u(t) is applied to the system, which results in an output y(t). If $\underset{t\to \infty }{\lim }$ e(t) = y(t) − u(t), then $\underset{t\to \infty }{\lim }$ e(t)limt → ∞ e( t )limt→∞⁡

The circuit shown below uses an ideal OpAmp. Output V0 in volt is ________ (rounded off to one decimal place).

All the transistors used in the circuit are matched and have a current gain β of 20. Neglecting the Early effect, the current I${}_{O4}$ in milliampere is _____.

The power in a 400 V (rms, line-line) three-phase, three-wire RYB sequence system is measured using the two wattmeters, as shown. The R-line current is 5∠60° A. Wattmeter W₁in the R-line will read (in watt) _________.

A 3 1/2 digit, rectifier type digital meter is set to read in its 2000 V range. A symmetrical square wave of frequency 50 Hz and amplitude ±100 V is measured using the meter. The meter will read _____
312