(Solved) An LVDT is connected to an amplifier of gain 250 the output terminals of which are connected to a 5 V voltmeter. The meter's scale can be read to 1/5th of a division and has 100 divisions in all. Given that a core displacement of 0.5 mm provides an output of 2 mV from the LVDT, find, 1. The sensitivity of the LVDT 2. The sensitivity of the whole system 3. The resolution of the instrument in centimeters

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 Question :

An LVDT is connected to an amplifier of gain 250 the output terminals of which are connected to a 5 V voltmeter. The meter's scale can be read to 1/5th of a division and has 100 divisions in all. Given that a core displacement of 0.5 mm provides an output of 2 mV from the LVDT, find, 

1. The sensitivity of the LVDT 

2. The sensitivity of the whole system 

3. The resolution of the instrument in centimeters



Explanation :

(a) Sensitivity of LVDT = Output voltage /displacement 

Sensitivity of LVDT = 2mV/0.5 mm = 4 mV/mm

(b)Sensitivity of whole setup = amplification factor*sensitivity of LVDT 

Sensitivity of whole setup = 250*(4 mV/mm) = 1000 mV/mm

(c) The resolution of the instrument in centimeters = minimum voltage that can be read by instrument /sensitivity of whole setup 

There are 100 divisions to measure upto 5V. 
So 1 division can read 5/100 = 0.05V
Scale can read 1/5 of a division. 
So minimum voltage that can be read = 0.05/5 = 0.01V = 10mV

So resolution = (10 mV) /(1000 mV/mm) = 0.01mm = 0.001 cm

For any queries regarding above solution please comment below. 





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