The potential difference between a pair of oppositely chargedparallel plates is

Question

The potential difference between a pair of oppositely chargedparallel plates is 376 V. (a) If the spacing between the plates is doubled without altering the charge on theplates, what is the new potential difference between theplates?
V
(b) If the plate spacing is tripled while the potential differencebetween the plates is kept constant, what is the ratio of the finalcharge on one of the plates to the original charge?
(Qfinal / Qinitial) (a) If the spacing between the plates is doubled without altering the charge on theplates, what is the new potential difference between theplates?
V
(b) If the plate spacing is tripled while the potential differencebetween the plates is kept constant, what is the ratio of the finalcharge on one of the plates to the original charge?
(Qfinal / Qinitial)

Explanation / Answer

The charge is unchanged, so according to Guass law, the electricfield magnitude is unchanged. the space is double, so the potential diffirence V=E*d will bedouble, because E is the same. b.The potential is constance and the distace is triple, it mean theelectric field is reduced by 3 time. V=E*d so E'/E=d/d' so according to gauss law, the charges is also reduced by 3 timesas well.

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