36CHAPTER 16 7.(a)Cdecreases. (b)Q stays the same. (c)E stays the same. (d)∆V increases. (e)The energy stored increases. Because the capacitor is removed from the battery, charges on the plates have nowhere to go. Thus, the charge on the capacitor plates remains the same as the plates are pulled apart. Because 00QAEσ==∈∈, the electric field is constant as the plates are separated. Because ∆V= Edand Edoes not change, ∆Vincreases as dincreases. Because the same charge is stored at a higher potential difference, the capacitance has decreased. Because 22QC=Energy storedand Qstays the same while Cdecreases, the energy stored increases. The extra energy must have been transferred from somewhere, so work was done. This is consistent with the fact that the plates attract one another, and work must be done to pull them apart. 8.(a)C increases. (b)Qincreases. (c)Estays the same. (d)∆Vremains the same. (e)The energy stored increases.
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