Ge Diode A particular germanium diode at 0^∘ C shows a current of 1.5 μA when it is reverse-bias

step 1 Similar to the problem 61, the problem 62 states that a germanium diode at 0 degree centigrade,

Ge Diode A particular germanium diode at 0^∘ C shows a...

Ge Diode A particular germanium diode at $0^{\circ} \mathrm{C}$ shows a current of $1.5 \mu$ A when it is reverse-biased. What current can be expected if the temperature increases to $104^{\circ} \mathrm{C}$ ? Assume that the reverse-biasing voltage remains constant. (The thermal charge-carrier production of germanium doubles for every $13^{\circ} \mathrm{C}$ increase in temperature.)

Key Concepts

Reverse Biasing in Diodes

When a diode is reverse-biased, the voltage is applied in a manner that widens the depletion region and inhibits the flow of charge carriers. Despite the blocking action, a small leakage current, known as the reverse saturation current, flows due to the thermal generation of charge carriers. This behavior is essential in understanding diode operation under non-forward conditions.

Thermal Generation of Charge Carriers

In semiconductors, the number of charge carriers (electrons and holes) is strongly influenced by temperature. As temperature increases, more electrons gain enough energy to cross the band gap, thereby increasing the intrinsic carrier concentration. This thermal generation process fundamentally controls the leakage or reverse saturation current in diodes.

Temperature Dependence of Reverse Saturation Current

The reverse saturation current in a diode exhibits exponential temperature dependence because higher temperatures enhance thermal generation of carriers. For many semiconductor materials, such as germanium, this can be approximated by rules such as the current doubling for every specific increase in temperature. This concept is vital in predicting device behavior under varying thermal conditions.

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