Question

You are working on charge-storage devices for a research center. Your goal is to store as much charge on a given device as possible. The facilities allow you to generate almost any potential difference v you need, but you are restricted to using a single parallel-plate capacitor. The area and separation distance of the plates are fixed, and the dielectric materials available to you are paper (κ = 3. 0, emax=4. 0×107v/m), mylar (κ = 3. 3, emax=4. 3×108v/m), quartz (κ = 4. 3, emax=8×106v/m), and mica (κ = 5, emax=2×108v/m).

Answer 1

The properties that must be considered when choosing the best dielectric are :

• Dielectric constant ( B )
• Breakdown threshold ( C )

Considering the given data related to the question

Expressing the capacitance for the plates

C = Kε₀*A / d  ----- ( 1 )

where : A = area of plates, d = separation of plates.  

Since the area and separation for all plates are the same

The energy stored between the plates can be expressed as :

U = 1/2 CV²  ----- ( 2 )

where : V = voltage.

Considering equations ( 1 ) and ( 2 ) the properties that must be considered when choosing the best dielectric are ; Dielectric constant and Breakdown threshold.

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