The current-voltage relation of a diode is given by $I = (e^{1000V/T} - 1) \; mA$,where the applied voltage $V$ is in volts and the temperature $T$ is in Kelvin. If a student makes an error of $\pm 0.01 \; V$ while measuring the voltage to obtain a current of $5 \; mA$ at $300 \; K$,what will be the error in the value of the current in $mA$?

$A$ junction diode has a resistance of $25 \Omega$ when forward biased and $2500 \Omega$ when reverse biased. The current in the diode, for the arrangement shown, will be

$A$ junction diode has a resistance of $50 \, \Omega$ when forward biased and $5000 \, \Omega$ when reverse biased. The current in the arrangement shown in the figure will be

Two identical ideal diodes are connected to an ammeter and a $1 \ V$ d.c. source as shown. In which one of the following circuits will the ammeter not show any deflection?

The width of the depletion layer is approximately .......

In a $p-n$ junction diode, the current $I$ can be expressed as $I=I_{0} \left[\exp \left(\frac{e V}{k_{B} T}\right)-1\right]$, where $I_{0}$ is the reverse saturation current, $V$ is the voltage across the diode (positive for forward bias, negative for reverse bias), $I$ is the current through the diode, $k_{B}$ is the Boltzmann constant $(8.6 \times 10^{-5} \; eV/K)$, and $T$ is the absolute temperature. If for a given diode $I_{0}=5 \times 10^{-12} \; A$ and $T=300 \; K$, then:
$(a)$ What will be the forward current at a forward voltage of $0.6 \; V$?
$(b)$ What will be the increase in the current if the voltage across the diode is increased to $0.7 \; V$?
$(c)$ What is the dynamic resistance?
$(d)$ What will be the current if reverse bias voltage changes from $1 \; V$ to $2 \; V$?