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Model No. ES-9080 Basic Electrostatics System

Analysis:

The calculations needed to determine the dielectric constant are long,

but straight forward:

Before inserting the dielectric...

Let be the charge on the capacitor plates, and be the capacitance

of the plates, without the dielectric.

Let be the charge on C

, the internal capacitance of the

electrometer.

Let be the initial reading of the electrometer.

The total charge in this initial system is given by

After inserting the dielectric…

Let be the new charge on the capacitor plates; the capacitance is

now .

Let be the new charge on , the internal capacitance of the

electrometer. Since there is no dielectric in , its value is still the

same.

Let be the new reading of the electrometer.

The total charge in the system after inserting the dielectric is given by

Now, the total amount of charge in the system was never changed, so

and

E ,

C

q

E ,

q

before

after

Figure 3.6: Circuit diagrams with and without the dielectric

+ C

+()V

′

E C

′

+()= V

+ q

′

+()V

C′

+()V

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