In a p-n junction diode, the current I can be expressed as
I=I_{0} \exp \left(\frac{e V}{2 k_{B} T}-1\right)
where I_{0} is called the reverse saturation current, V is the voltage across the diode and is positive for forward bias and negative for reverse bias, and I is the current through the diode, k_{B} is the Boltzmann constant \left(8.6 \times 10^{-5} \mathrm{eV} / \mathrm{K}\right) and \mathrm{T} is the absolute temperature. If for a given diode \mathrm{l}_{0}=5 \times 10^{-12} \mathrm{~A} and \mathrm{T}=300 \mathrm{~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 \mathrm{~V} ?
In a p-n junction diode, the current I can be expressed as
I=I_{0} \exp \left(\frac{e V}{2 k_{B} T}-1\right)
where I_{0} is called the reverse saturation current, V is the voltage across the diode and is positive for forward bias and negative for reverse bias, and I is the current through the diode, k_{B} is the Boltzmann constant \left(8.6 \times 10^{-5} \mathrm{eV} / \mathrm{K}\right) and \mathrm{T} is the absolute temperature. If for a given diode \mathrm{l}_{0}=5 \times 10^{-12} \mathrm{~A} and \mathrm{T}=300 \mathrm{~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 \mathrm{~V} ?

The expression for current in a p-n junction diode, is given as

I=I_{0} \exp \left(\frac{e V}{2 k_{B} T}-1\right)

Here, l_{0}=5 \times 10^{-12} \mathrm{~A}

\mathrm{T}=300 \mathrm{~K}

\mathrm{k}_{\mathrm{B}} is the Boltzmann constant with a value of 8.6 \times 10^{-5} \mathrm{eV} / \mathrm{k}=8.6 \times 10^{-5} \times 1.6 \times 10^{-19}=1.376 \times 10^{-23} \mathrm{~J} / \mathrm{K}

(a) Forward voltage is given as V=0.6 \mathrm{~V}

I=5 \times 10^{-12} \exp \left(\frac{1.6 \times 10^{-19} \times 0.6}{2 \times 1.376 \times 10^{-23} \times 300}-1\right)

I=5 \times 10^{-12} \exp (22.36)

=0.0256 \mathrm{~A}

(b) Voltage across the diode is given to get increased to 0.7 \mathrm{~V}

I^{\prime}=5 \times 10^{-12} \exp \left(\frac{1.6 \times 10^{-19} \times 0.7}{2 \times 1.376 \times 10^{-25} \times 300}-1\right)

I^{\prime}=5 \times 10^{-12} \exp (26.25)

l^{\prime}=1.257 \mathrm{~A}

Change in current will be \Delta \mathrm{l}=\mathrm{l}^{\prime}-\mathrm{I}

=1.257-0.0256

=1.23 \mathrm{~A}

Change is voltage will be 0.7-0.6=0.1 \mathrm{~V}