Practice Question 2 A bridge circuit shown in Figure Q2 is used to measure the relative permittivity of a specimen inserted between the capacitor plates, Cr. specimen Figure Q? Without the specimen inserted (air between the capacitor plates), the balance condition is achieved with the following values; C= 150 pF C3= 678 pF C4= 200 pF R=5 k2 R=3 k2 R4-100 2 With the specimen inserted, the balance condition is achieved with the following values; 150 pF C= sss pF C4= 200 pF R=1 k2 R= 3 k2 R4= 50 2 () Derive the equation for Cz Show that C: depends only on C3, R1, and R4. (Please inchude all derivation steps). (i) Find the relative permittivity of the specimen.

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Practice Question 2
A bridge circuit shown in Figure Q2 is used to measure the relative permittivity of a specimen
inserted between the capacitor plates, Cz.
R1
specimen
Figure Q2
Without the specimen inserted (air between the capacitor plates), the balance condition is
achieved with the following values;
Ci= 150 pF
C3 = 678 pF
C4= 200 pF
R1= 5 k2
R= 3 k2
R4=100 2.
With the specimen inserted, the balance condition is achieved with the following values;
C1= 150 pF
C3= 888 pF
C4= 200 pF
R1=1 k2
R2= 3 k2
R4= 50 2.
%3D
) Derive the equation for Cx Show that C: depends only on C3, R1, and R4. (Please include
all derivation steps).
(i) Find the relative permittivity of the specimen.
Transcribed Image Text:Practice Question 2 A bridge circuit shown in Figure Q2 is used to measure the relative permittivity of a specimen inserted between the capacitor plates, Cz. R1 specimen Figure Q2 Without the specimen inserted (air between the capacitor plates), the balance condition is achieved with the following values; Ci= 150 pF C3 = 678 pF C4= 200 pF R1= 5 k2 R= 3 k2 R4=100 2. With the specimen inserted, the balance condition is achieved with the following values; C1= 150 pF C3= 888 pF C4= 200 pF R1=1 k2 R2= 3 k2 R4= 50 2. %3D ) Derive the equation for Cx Show that C: depends only on C3, R1, and R4. (Please include all derivation steps). (i) Find the relative permittivity of the specimen.
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