GATE EC question library

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 $\mathrm{ms}$, 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 $\mathrm{AND}$ gate has a propagation delay of $1 \: \mathrm{ ns}$. The edge-triggered flip-flops have a set-up time of $2 \: \mathrm{ ns}$, a hold-time of $0 \: \mathrm{ns}$, and a clock-to-$Q$ delay of $2$ ns. The maximum clock frequency (in $\mathrm{MHz}$, rounded off to the nearest integer) such that there …

An ideal p-n junction germanium diode has a reverse saturation current of $10 \mu \mathrm{~A}$ at $300 \: \mathrm{ K}$. The voltage (in Volts, rounded off to two decimal places) to be applied across the junction to get a forward bias current of $100 \: \mathrm{mA}$ at $300 \: \mathrm{K}$ is $\_\_\_\_\_\_\_$. (Consider the Boltzmann constant …

A $50 \Omega$ lossless transmission line is terminated with a load $\mathrm{Z}_{\mathrm{L}}$ of $(50-\mathrm{j} 75) \Omega$. If the average incident power on the line is $10 \: \mathrm{mW}$, then the average power delivered to the load (in $\mathrm{mW}$, rounded off to one decimal place) is $\_\_\_\_\_\_\_$.

Two resistors are connected in a circuit loop of area $5 \mathrm{~m}^{2}$, 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 $B(t)=0.5 t$ (in Tesla), is applied along the positive $z$-axis, the magnitude of current $I$ (in Amperes, rounded off to two decimal places) in …