The potential difference between a pair of oppositely chargedparallel plates is

Question

The potential difference between a pair of oppositely chargedparallel plates is 366 V. (a) If the spacing between the plates isdoubled without altering the charge on theplates, what is the new potential difference between theplates?
1____________V
(b) If the plate spacing is tripled whilethe potential difference between the plates is kept constant, whatis the ratio of the final charge on one of the plates to theoriginal charge?
2____________(Qfinal /Qinitial) (a) If the spacing between the plates isdoubled without altering the charge on theplates, what is the new potential difference between theplates?
1____________V
(b) If the plate spacing is tripled whilethe potential difference between the plates is kept constant, whatis the ratio of the final charge on one of the plates to theoriginal charge?
2____________(Qfinal /Qinitial)

Explanation / Answer

We know that              C =0A/d..................(1) And we also know that               Q =CV Then          C=Q/V ...................(2) From the equation (1) and (2) we get that                   Q/V =0A/d From the above we can say that                       V d We can directly say that if the distance between the plates isdoubled then the potential diffrence is also doubled (becausethey are directly proportinal) Then V1/V2 = d1/d2           366V/V2=d/2d                Then the new potential difference is given by           366V/V2=d/2d                Then the new potential difference is given by                     V2 = (2)(366V)                            =732V Similarly for the second problem

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