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 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 V/m. What is the minimum area of the plates? 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 8.00 x 106 J with a potential difference of 1.00

Explanation / Answer

Energy stored in a capacitor is given by

u =(1/2)Cv2 =

Then the capacitance is given by C =2u/v2 =2*10^6/(10^4)^2=2*10-2F=0.02F

We know that E =V/d then d =V/E find d

Now we know that C =E0A/d area can be given by A =C*d/E0

E0 =8.85*10^-12F/m

Now substitute the values you get the answer

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