A capacitor is not the most efficient device for storing energy. Batteries can s

Question

A capacitor is not the most efficient device for storing energy. Batteries can store more energy in much less space. For example, a typical 12 V automobile battery stores on the order of 1.00 106 J.
(a) Find the capacitance necessary to store 1.00 106 J with a potential difference of 1.00 104 V across the capacitor's terminals.


(b) Suppose that such a capacitor was made in the form of a parallel-plate capacitor with a vacuum between the plates and an electric field no greater than 7.00 106 V/m. What is the minimum area of the plates?

Explanation / Answer

C= A/d = 1.997

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