Consider a parallel-plate capacitor with some non-zero charge on the plates.  If we double the charge surface density on each of the plates and double the separation between the plates, how does the energy density of the capacitor change?   A.  The energy density stays the same.   B.  The energy density is halved.   C.  The energy density decreases by a factor of 2–√.   D.  The energy density increases by a factor of 4.

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Consider a parallel-plate capacitor with some non-zero charge on the plates.  If we double the charge surface density on each of the plates and double the separation between the plates, how does the energy density of the capacitor change?

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    A. 

    The energy density stays the same.

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    B. 

    The energy density is halved.

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    C. 

    The energy density decreases by a factor of 2–√.

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    D. 

    The energy density increases by a factor of 4.

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    E. 

    The energy density increases by a factor of 2–√.

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