A transducer using the capacitance principle consists of two concentric cylindrical electrodes. The outer diameter of inner cylinder is 4mm. The inner diameter of the outer electrode is 4.2mm. The length of the electrode is 0.03m. Calculate the change in capacitance if the inner electrode is moved through a distance of 1.5mm.
What will be an ideal response?
A cylindrical capacitance transducer consists of two coaxial cylinders with the outer radius of the inner cylinder defined as 
the inner radius of outside cylinder as 
and the length as L.
Consider an example involving overlapping conductors in which the inner cylinder can be moved with respect to the outer cylinder causing a change in capacitance.
The capacitance is computed as:
The size of the air gap between the two electrodes is: 
The capacitance of the transducer: 
The electrode length has shifted by a distance of 1.5.
The new value of length = 0.03-0.0015 = 0.0285m
Value of capacitance is: 
The change in value of capacitance is the difference between 
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