2- Two long, coaxial, cylindrical conducting surfaces (each of length L, and of inner radius aand outer radius b) are used for constructing a capacitor by lowering them vertically into a liquiddielectric of mass density p. [Figure 4.32 on pp.205 of Griffiths (4th ed.) can help you visualize thesetup.a) Determine the capacitance of this configuration if the liquid has risen a distance h < L betweenthe electrodes when a potential difference V is established between themb) Determine the electric susceptibility Xe of the liquid.Hint: Carefully consider 'the balance of energy' by keeping an eye on the work done against gravity

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Asked Nov 26, 2019
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2- Two long, coaxial, cylindrical conducting surfaces (each of length L, and of inner radius a
and outer radius b) are used for constructing a capacitor by lowering them vertically into a liquid
dielectric of mass density p. [Figure 4.32 on pp.205 of Griffiths (4th ed.) can help you visualize the
setup.
a) Determine the capacitance of this configuration if the liquid has risen a distance h < L between
the electrodes when a potential difference V is established between them
b) Determine the electric susceptibility Xe of the liquid.
Hint: Carefully consider 'the balance of energy' by keeping an eye on the work done against gravity
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2- Two long, coaxial, cylindrical conducting surfaces (each of length L, and of inner radius a and outer radius b) are used for constructing a capacitor by lowering them vertically into a liquid dielectric of mass density p. [Figure 4.32 on pp.205 of Griffiths (4th ed.) can help you visualize the setup. a) Determine the capacitance of this configuration if the liquid has risen a distance h < L between the electrodes when a potential difference V is established between them b) Determine the electric susceptibility Xe of the liquid. Hint: Carefully consider 'the balance of energy' by keeping an eye on the work done against gravity

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Expert Answer

Step 1

a) For Air, potential is,

V=-jEdr
|dr
2 Te
In
2πε
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V=-jEdr |dr 2 Te In 2πε

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Step 2

For Liquid,

D da A1
D(2Trl
)= 21
D =
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D da A1 D(2Trl )= 21 D =

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Step 3

Potential ...

dr
V
2.TET
2TS
a
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dr V 2.TET 2TS a

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