GATE EC 2024 Question Paper (11-Feb-2024) (Shift 1)

In the given circuit, the current $I_x$ (in mA) is ___________

In the circuit given below, the switch S was kept open for a sufficiently long time and is closed at time $t=0$. The time constant (in seconds) of the circuit for $t>0$ is _________

Suppose $X$ and $Y$ are independent and identically distributed random variables that are distributed uniformly in the interval $[0,1]$. The probability that $X\ge Y$ is _________

A source transmits symbols from an alphabet of size 16. The value of maximum achievable entropy (in bits) is _______

As shown in the circuit, the initial voltage across the capacitor is 10 V, with the switch being open. The switch is then closed at $t=0$. The total energy dissipated in the ideal Zener diode ($V_Z=5$ V) after the switch is closed (in mJ, rounded off to three decimal places) is _____________.