(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

 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. 





Comments

Popular posts from this blog

(Solved) When a reverse bias is applied to a germanium PN junction diode, the reverse saturation current at room temperature is 0.3m A. Determine the current flowing in the diode when 0.15v forward bias is applied at room temperature.

(Solved) A step down DC chopper has a resistive load of R = 15 ohm and input Vdc = 200 V. When the chopper remain ON, it's voltage drop is 2.5V. The chopper frequency is 1 kHz. If the duty cycle is 50%, determine: a) Average output voltage b) RMS output voltage c) Chopper efficiency d) The effective input resistance of the chopper