GATE EC 2026 Question Paper (15-Feb-2026) (Shift 1)

Consider the circuit shown in the Figure, where the input $v_i(t)$ is in Volt.
The average power (in mW) dissipated in the load resistance of 1 k$\Omega$ at the resonant frequency is __.
(rounded off to two decimal places)

A wireless digital transmission scheme is using 16-QAM over an additive white Gaussian noise channel and a maximum-likelihood receiver. Consider the information bit rate from source to be $4\times 10^6$ bits per second.
The minimum transmission bandwidth (in MHz) of the modulated signal necessary for optimum recovery of information at the receiver is __.
(rounded off to two decimal places)

The cutoff frequency (in GHz) for the dominant ${\text{TE}}_{10}$ mode of an air-filled rectangular waveguide of inner dimension 0.28 inch $\times$ 0.14 inch is __.
(rounded off to two decimal places).

For a lossless passive two-port network, $|S_{11}|$ and $|S_{21}|$ intersect at $-3\text{ dB}$.
For a lossy passive two-port network, $|S_{11}|$ and $|S_{21}|$ intersect at $-4\text{ dB}$.
The percentage of power dissipated in the lossy network at the intersection frequency is __.
(rounded off to two decimal places)

The negative edge triggered JK flip-flop in the Figure has J and K inputs tied to Logic High and a square wave of 10 cycles/second is applied to its clock (C) input.
The frequency of the output Q (in cycles/second) is __.
(rounded off to two decimal places)