1.76 The breakdown voltage V₂ varies with tempera- ture and this is undesirable especially in precision voltage-reference applications. A popular way to compensate for this variation is to use an ava- lanche diode, which has TC > 0, in series with an ordinary forward-biased diode, which has TC < 0, as depicted in Fig. P1.76. As we know, the latter has TC-2 mV/°C, so if we use an avalanche diode with TC = +2 mV/°C, the opposing TCs will cancel each other out, resulting in a very sta- ble combined voltage drop. Avalanche diodes with TC +2 mV/°C fall in the neighborhood of 6.2 V, so the voltage drop of the series combination is about 6.2 +0.7 = 6.9 V. (a) Assuming Vo 6.9 V, specify R for an avalanche-diode current of 3 mA at V₁ = 12 V and I₁ = 2 mA. (b) Assuming sufficiently small line and load variations to justify the small-signal approxi- mation for D₁, find the line and load regula- tion (in mV/V and mV/mA) if r₂ = 8 2 and nV₁ = 26 mV. V₁ R W D₁ Z D₂ FIGURE P1.76 +₁ + Vo LD

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76
1.76 The breakdown voltage V, varies with tempera-
ture and this is undesirable especially in precision
voltage-reference applications. A popular way
to compensate for this variation is to use an ava-
lanche diode, which has TC > 0, in series with an
ordinary forward-biased diode, which has TC<0,
as depicted in Fig. P1.76. As we know, the latter
has TC = -2 mV/°C, so if we use an avalanche
diode with TC = +2 mV/°C, the opposing TCs
will cancel each other out, resulting in a very sta-
ble combined voltage drop. Avalanche diodes with
TC = +2 mV/C|fall in the neighborhood of 6.2
V, so the voltage drop of the series combination is
about 6.2 + 0.7 = 6.9 V.
(a) Assuming Vo = 6.9 V, specify R for an
avalanche-diode current of 3 mA at V, = 12 V
and I, = 2 mA.
(b) Assuming sufficiently small line and load
variations to justify the small-signal approxi-
mation for D, find the line and load regula-
tion (in mV/V and mV/mA) if r, = 8 N and
nV, = 26 mV.
R
VI
Vo LD, IL
FIGURE P1.76
Transcribed Image Text:1.76 The breakdown voltage V, varies with tempera- ture and this is undesirable especially in precision voltage-reference applications. A popular way to compensate for this variation is to use an ava- lanche diode, which has TC > 0, in series with an ordinary forward-biased diode, which has TC<0, as depicted in Fig. P1.76. As we know, the latter has TC = -2 mV/°C, so if we use an avalanche diode with TC = +2 mV/°C, the opposing TCs will cancel each other out, resulting in a very sta- ble combined voltage drop. Avalanche diodes with TC = +2 mV/C|fall in the neighborhood of 6.2 V, so the voltage drop of the series combination is about 6.2 + 0.7 = 6.9 V. (a) Assuming Vo = 6.9 V, specify R for an avalanche-diode current of 3 mA at V, = 12 V and I, = 2 mA. (b) Assuming sufficiently small line and load variations to justify the small-signal approxi- mation for D, find the line and load regula- tion (in mV/V and mV/mA) if r, = 8 N and nV, = 26 mV. R VI Vo LD, IL FIGURE P1.76
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