8.10 Differential amplifiers are often used in conjunction with Wheatstone bridge circuits. Consider the bridge shown in Figure P8.10, where each resistor is a temperature sensing element, and its change in resistance is directly proportion to a change in temperature that is, AR= a(+AT), where the sign is determined by the positive or negative temperature coefficient of the resistive element. a. Find the Thévenin equivalent that the amplifier sees at point a and at point b. Assume that JAR? « Ro. b. If JAR| = KAT, with Ka numerical constant, find an expression for vout (AT), that is, for Vout as a function of the change in temperature. 100 k2 Ro-|AR , R, -|AR| 10 V Ro-|AR| R =1 k2 100 k2

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8.10 Differential amplifiers are often used in
conjunction with Wheatstone bridge circuits. Consider
the bridge shown in Figure P8.10, where each resistor
is a temperature sensing element, and its change in
resistance is directly proportion to a change in
temperature that is, AR= a(+AT), where the sign
is determined by the positive or negative temperature
coefficient of the resistive element.
a. Find the Thévenin equivalent that the amplifier
sees at point a and at point b. Assume that
JAR? « Ro.
b. If JAR| = KAT, with Ka numerical constant, find
an expression for vout (AT), that is, for Vout as a
function of the change in temperature.
100 k2
Ro-|AR ,
R, -|AR|
10 V
Ro-|AR|
R =1 k2
100 k2
Transcribed Image Text:8.10 Differential amplifiers are often used in conjunction with Wheatstone bridge circuits. Consider the bridge shown in Figure P8.10, where each resistor is a temperature sensing element, and its change in resistance is directly proportion to a change in temperature that is, AR= a(+AT), where the sign is determined by the positive or negative temperature coefficient of the resistive element. a. Find the Thévenin equivalent that the amplifier sees at point a and at point b. Assume that JAR? « Ro. b. If JAR| = KAT, with Ka numerical constant, find an expression for vout (AT), that is, for Vout as a function of the change in temperature. 100 k2 Ro-|AR , R, -|AR| 10 V Ro-|AR| R =1 k2 100 k2
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