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Capacitance and Dielectics Report

# Capacitance and Dielectics Report - of the material used...

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Phys211L/ Phys205L Capacitance and Dielectric Constant Measurement (A) Unknown capacitors and combination Nominal Values: C x :______________ C y :________________ C z :________________ Note the manufacturer’s rated tolerances Measured Value, C m Calculated (From measured values) C x -- ------ C y ------ -- C z ---- ---- C x §C y §C z C x §C y C x //C y //C z C y //C z C x §(C y //C z ) C x //( C y §C z ) N.B. You must use the measured value for C x , C y and C z in your calculations (§ indicates a series connection while // indicates a parallel connection). Comment on your results; agreements must be noted and discrepancies explained. 1

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(B) Parallel Plate Capacitor Measured Values Uncertainty on values Diameter D Separation d (spacer ) Capacitance C air (calculated) C air (measured) C d (meas. W/dielectric) Use the measurements of the diameter and the separation to calculate the value of C air . How does this value compare to the measured one? (find the error on C air (calculated) using propagation of error) Find the dielectric constant (ε/ε

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Unformatted text preview: ) of the material used and its uncertainty using the theory of propagation of errors. 2 3 (C) Coaxial cables You will get a coaxial cable with the following specs (dimensions are in inches): Cable Inner conductor diameter ( a ) Shield inner diameter ( b ) Outer diameter RG58 0.037 0.110 0.195 Length (m) Capacitance with adapter Capacitance Without adapter Capacitance/length (F/m) C adapter-------------------------- --------Cable #1 __________ Cable #2 __________ Cable 1 + Cable 2------------------------------Determine from your measurements the dielectric constant of the material used in each of the two cables. Note that the connector between the two cables has a small capacitance. Determine the capacitance of the connector:______________________________ Upon connecting the two coaxial cables with the BNC connectors, can you tell whether the cables in parallel or in series? Explain. 4...
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