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Capacitance and Dielectrics Previous

Capacitance and Dielectrics Previous - Physics 211L...

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Physics 211L Capacitance and Dielectric Constant Measurement (A) Unknown capacitors and combination Nominal Values: C x :_ 0.47 ± 10 ٪ nF _ _ C y :__ 2.22 ± 10 ٪ nF _ C z :__ 56 ± 10 ٪ nF _ Note the manufacturer’s rated tolerances Measured Value, C m (nF) Calculated (From measured values) (nF) C x 0.451 ------ C y 2.537 ------ C z 56 ---- ---- C x §C y §C z 0.386 n n eq C C 1 1 C x §C y 0.383 n n eq C C 1 1 C y §C z 2.268 C x §C z 0.452 C x //C y //C z 58.82 n n eq C C = Cx+Cy+ Cz=58.808 C x //C y 2.81 Cx+Cy=2.808 C x //C z 56.46 Cx+Cz=56.451 C y //C z 58.06 58.357 1
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Measured Value, C m (nF) Calculated (From measured values) (nF) C x §(C y //C z ) 0.45 (C x §C y )//C z 56.4 =56.379 C x //( C y §C z ) 2.72 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. Parallel: Measured value: Ceq =Cx//Cy//Cz = 58.82×10 -9 F Calculated value: Ceq=Cx//Cy//Cz=58.808 ×10 -9 F Series: Measured value: Ceq=Cx§Cy§Cz=0.386 ×10 -9 F Calculated value: Ceq=Cx§Cy§Cz=0.376 ×10 -9 F As we notice from above the calculated values are close to the measured one.
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