How Do You Calculate UAB in a Wheatstone Bridge with Changing Resistance Values?

In summary, the question is asking for help with calculating the voltage difference between points A and B when the sensor resistance changes to 60.1 ohms. The voltage detector must be able to register this small difference for the sensor to be useful. The task is to calculate UAB using the balanced Bridge with R3=60 and R4 changing by 0.1 ohm, using a 12V battery.
  • #1
commelion
40
0
looking for some help for the second part of this question.

i got 60 ohms for part one

the answer to part 2 shows (delta v = 4.44mv) not sure how to calculate this or what is voltage resolution.

regards
 

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  • #2
If the sensor resistance changes to 60.1 ohms, what will be the voltage difference between A and B? The voltage detector (e.g, voltmeter) must be able to register this small voltage, otherwise the sensor won't be of any use for the intended purpose.
 
  • #3
Starting with the balanced Bridge, (R3=60) calculate UAB when R4 changes by 0.1 ohm with respect to the nominal 60 ohm. Take care: the figure shows 15 V for the voltage of the battery, the text says 12 V, and you have to use this value.

ehild
 

Related to How Do You Calculate UAB in a Wheatstone Bridge with Changing Resistance Values?

1. What is a Wheatstone Bridge?

A Wheatstone Bridge is a type of electrical circuit commonly used for measuring resistance. It consists of four resistors arranged in a diamond shape, with a voltage source connected across the top and a voltmeter connected across the bottom.

2. How does a Wheatstone Bridge work?

A Wheatstone Bridge works by balancing two arms of the circuit, with one arm containing a known resistance and the other containing an unknown resistance. When the bridge is balanced, no current flows through the voltmeter and the ratio of the known and unknown resistances can be used to calculate the unknown resistance.

3. What are the applications of a Wheatstone Bridge?

Wheatstone Bridges are commonly used in scientific and industrial settings for measuring resistance. They can also be used in strain gauges, which measure changes in resistance due to strain, and in temperature sensors, where the resistance of a material changes with temperature.

4. How accurate is a Wheatstone Bridge?

The accuracy of a Wheatstone Bridge depends on a few factors, such as the quality of the components and the precision of the measurements. In general, Wheatstone Bridges can provide very accurate measurements, with some designs being able to detect changes in resistance up to 0.0001 ohms.

5. What are the advantages of using a Wheatstone Bridge over other methods of resistance measurement?

One advantage of using a Wheatstone Bridge is its high accuracy. It also allows for resistance measurements to be taken without disrupting the circuit, making it useful for measuring sensitive components. Additionally, Wheatstone Bridges can be easily modified for use in different applications, making them versatile tools for scientists and engineers.

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