detail answer A potentiometer is used to measure angular position theta of the w
ID: 2988800 • Letter: D
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A potentiometer is used to measure angular position theta of the wheel. A voltage follower is used to isolate the potentiometer from the remaining circuit. The potentiometer being used to measure 360 degrees has a resistance Rp=5.0kOhm. and is capable of dissipating 0.02W of power in most environments. The diagram of the transducer is shown in Fig. 1. The transducer output contains a noise that is above 1 KHz. It is to be connected to a 12-bit analogue to digital converter, having a range between 0 and 5V. Please Determine the maximum voltage that can be applied to the potentiometer; Determine the value of series resistor Rs in order to protect the potentiometer if Vs=15V; If the resolution required is 0.01 degree, determine the value for amplifier gain; Design a filter with the quality factor Q being 2, and show the circuit diagram.Explanation / Answer
1.
As the resistor Rpis capable of dissipating 0.02 W,
By the relation Power = Voltage2/Resistance, we get Voltage = 10V, This is the max voltage that can be applied.
2.
If 15V is applied the voltage drop across Rs should be 5V (15 - 10).
Now we first calculate the current in this condition.
Voltage across Rp is 10V therefore the current will be 10/5k which is 2mA.
Now the resistance Rs is 5V/2mA which is 2.5 k or 2500 ohms (using Ohms law).
3.
The resolution required is 0.01o.
Hence the amplified voltage willbe (0.01/360)*5V = 1.388 x 10-4V.
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