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Diode Circuits and Applications Questions and Answers

151.

A diode dissipates \( 1 \ \mathrm{W} \) with a thermal resistance of \( 60 \ \mathrm{^\circ C/W} \) in a \( 40 \ \mathrm{^\circ C} \) ambient. Its junction reaches

Answer: B

Adding the rise to the ambient:

\[ T_{j} = 40 + (1 \times 60) = 100 \ \mathrm{^\circ C} \]

giving 100 degrees, safely below a silicon limit of 150 but leaving little margin for a hotter ambient. Sixty degrees is the rise alone and forty the ambient alone. Whether a device survives is decided by the sum rather than either term, which is why an ambient specification is as much part of a rating as the power figure.

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152.

With a heatsink halving that thermal resistance, the same dissipation gives a junction temperature of

Answer: C

Halving the resistance halves the rise:

\[ T_{j} = 40 + (1 \times 30) = 70 \ \mathrm{^\circ C} \]

so 70 degrees, a thirty degree improvement bought entirely with metal. Fifty degrees would need a quarter of the original resistance. Because the rise is proportional to the resistance, halving one halves the other exactly, which makes heatsink sizing one of the more straightforward calculations in a power design.

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Answer: D

Reverse saturation current roughly doubles for every ten degrees, so a device that leaks microamps at room temperature can leak milliamps when hot - and since that leakage dissipates power under reverse voltage, it can feed a thermal runaway. It does not reverse direction, remains largely independent of reverse voltage, and stays far below the forward current. Any mechanism whose effect grows with the temperature it produces has to be checked for runaway rather than merely tabulated.

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Answer: A

Because sixty millivolts changes the current tenfold, setting a diode's current by applying a voltage is hopelessly imprecise, and the current must be set by a series element. The forward drop is easy to measure at a known current, leakage is measurable with care, and frequency is a separate matter. Every device with an exponential characteristic is driven from a current rather than a voltage for exactly this reason, which is why the same arrangement appears with light emitting diodes and transistor base junctions.

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Answer: B

Differentiating the diode equation gives a slope resistance of the thermal voltage divided by the current, so at one milliamp it is about 26 ohms and at ten it is about 2.6. Bulk resistance, capacitance and stored charge are all real effects but none produces this relation. A current-controlled resistance falling as one over the current is what makes diodes and transistor junctions useful as variable elements, and the same expression reappears throughout small-signal analysis.

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