GATE EC 2025 Question Paper (15-Feb-2025) (Shift 2)

The diode in the circuit shown below is ideal. The input voltage (in Volts) is given by $V_i=10\sin 100\pi t$, where time $t$ is in seconds.
The time duration (in $ms$, rounded off to two decimal places) for which the diode is forward biased during one period of the input is __________.

In the circuit shown below, the AND gate has a propagation delay of $1ns$. The edge-triggered flip-flops have a set-up time of $2ns$, a hold time of $0ns$, and a clock-to-Q delay of $2ns$. The maximum clock frequency (in $MHz$, rounded off to the nearest integer) such that there are no setup violations is __________.

An ideal p-n junction germanium diode has a reverse saturation current of $10\mu A$ at $300K$. The voltage (in Volts, rounded off to two decimal places) to be applied across the junction to get a forward bias current of $100mA$ at $300K$ is __________.
(Consider the Boltzmann constant $k_B=1.38\times 10^{-23}J/K$ and the charge of an electron $e=1.6\times 10^{-19}C$.)

A $50\Omega$ lossless transmission line is terminated with a load $Z_L$ of $(50-j75)\Omega$. If the average incident power on the line is $10mW$, then the average power delivered to the load (in $mW$, rounded off to one decimal place) is __________.

Two resistors are connected in a circuit loop of area $5m^2$, as shown in the figure below. The circuit loop is placed on the x-y plane.
When a time-varying magnetic flux, with flux-density $B(t)=0.5t$ (in Tesla), is applied along the positive z-axis, the magnitude of current $I$ (in Amperes, rounded off to two decimal places) in the loop is __________.