A Ge p^+ n junction diode has donor doping of 2 ×10^15 / cm^3 and relative permittivity 16. What

step 1 In this question we have to find VR2 from given information and from the given data V -by is 1 .

A Ge p^+ n junction diode has donor doping of 2 ×10^15 /...

A Ge $\mathrm{p}^{+} \mathrm{n}$ junction diode has donor doping of $2 \times 10^{15} / \mathrm{cm}^{3}$ and relative permittivity 16. What will be the minimum thickness of $\mathrm{n}$ region that will ensure avalanche breakdown at $300 \mathrm{~V}$ reverse bias voltage?

Key Concepts

Avalanche Breakdown

Avalanche breakdown is a phenomenon in semiconductor diodes where a strong reverse bias accelerates carriers to high velocities, causing them to collide with the lattice and generate additional carriers through impact ionization. This cascading multiplication of charge carriers results in a sudden increase in current, and the threshold voltage at which this occurs is a key characteristic of the diode's performance.

Depletion Region in pn Junctions

The depletion region in a pn junction is the area around the junction where mobile charge carriers are depleted, leaving behind a region of fixed ionized dopants. The width of this region increases with reverse bias voltage, affecting the electric field distribution within the diode, and is crucial in determining the breakdown voltage and overall behavior of the junction.

Semiconductor Doping

Doping involves introducing impurities into a semiconductor to modify its electrical properties. In junction diodes, the concentration of donor and acceptor impurities in the n-type and p-type regions respectively determines the extent of the depletion region and the built-in electric field, which in turn influences the breakdown voltage characteristics of the device.

Permittivity of Semiconductor Materials

The permittivity of a semiconductor material is a measure of its ability to polarize in response to an electric field, affecting how the field is distributed within the material. A material with higher relative permittivity will experience a lower electric field for a given amount of charge in the depletion region, thereby impacting the voltage required for avalanche breakdown.

Electric Field Distribution

The distribution of electric field within the depletion region is determined by the applied reverse bias, the doping concentration, and the material's permittivity. An appropriate understanding of these parameters is essential when analyzing and designing for breakdown conditions such as avalanche breakdown in semiconductor diodes.

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