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Instrumentação e Medição

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In the following circuit the thermistor NTC has at and .

Thermistor circuit

The digital voltmeter (DVM), measuring the output , indicates . Obtain the temperature at the thermistor in °C.

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Consider the following circuit in which the thermistor NTC has at and .

Thermistor circuit

Determine the output voltage when the temperature is .

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The Wien bridge shown in the figure is used as a null frequency detector when driven by an ac voltage.

Wien bridge circuit

Adjusting and , there is a null detection observed when and .

The standard capacitors (fixed-value) are , and .

Determine the detected null frequency.

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Consider the following Maxwell inductance bridge circuit used to characterize the inductance modeled as the self-inductance and its equivalent series resistance .

Maxwell inductance bridge circuit

By properly adjusting the variable resistor  and the variable self-inductance , the bridge is kept in equilibrium at , i.e. .

Under these circumstances, .

As for the inductor , its equivalent series resistance is .

Estimate the ratio between the unloaded quality factors of the inductors and (without in ), i.e. .

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The Schering bridge shown in the figure is used to characterize a capacitor modeled by its value and equivalent series resistance .

Assuming bridge equilibrium conditions, and . The standard fixed-value components are and .

Schering bridge circuit

Determine the equivalent series resistance value .

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In order to characterize a capacitor at , both and were adjusted to achieve equilibrium on the Schering bridge shown below. The capacitor to be characterized is modeled by its capacitance value and equivalent series resistance .

Schering bridge circuit

Under bridge equilibrium conditions, and . The standard fixed-value components are and .

Determine the dissipation factor (loss tangent, ) of the capacitor to be characterized.

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Consider the following Hay bridge for inductance measurements.

Hay bridge circuit

Suppose that and were adjusted ( and ) to achieve bridge equilibrium at , i.e., .

The standard fixed-value components are and .

Determine the value of the inductor, .

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For the Hay bridge shown in the figure, assuming the bridge is in equilibrium, at the frequency of , calculate the series parasitic resistance of the inductor, , considering , , , and .

Hay bridge circuit

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The Maxwell inductance bridge shown in the figure was used to characterize the inductance under test, modeled as the self-inductance and the respective equivalent series resistance .

The bridge achieves equilibrium by adjusting the variable resistor  and the variable self-inductance . The resultant values for these components are and .

Maxwell inductance bridge circuit

The standard resistances have values and , and for inductor , its equivalent series resistance is .

Calculate the self-inductance .

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For the Maxwell-Wien bridge shown in the figure in equilibrium (null detection between terminals and ) the values of the variable components are and . The fixed-value components are and .

Maxwell-Wien bridge circuit

Calculate the self-inductance .

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