Concept explainers
(a)
The maximum stored charge on the capacitor.
(a)
Answer to Problem 76P
The maximum stored charge on the capacitor is
Explanation of Solution
The diameter of the circular plate is
Write the expression for charge stored on each plate of the capacitor
Here,
Write the expression for capacitance of parallel plate capacitor
Here,
Write the expression for area of the circular plate
Here,
Substitute (III) in (II)
Cancel the common terms
Write the expression for potential difference
Here,
Substitute (IV) and (V) in (I)
Rearrange
The dielectric strength of dry air is
Substitute
Thus, the maximum stored charge on the capacitor is
(b)
The maximum stored charge on the capacitor with neoprene between the plates.
(b)
Answer to Problem 76P
The maximum stored charge on the capacitor with neoprene between the plates is
Explanation of Solution
The diameter of the circular plate is
Write the expression for charge stored on each plate of the capacitor with a dielectric
Here,
Write the expression for capacitance of parallel plate capacitor with a dielectric
Here,
Substitute (IV) in (VIII)
Substitute (IX) and (V) in (VII)
The dielectric strength of neoprene is
Substitute
Thus, the maximum stored charge on the capacitor with a dielectric is
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