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A parallel-plate capacitor having plates 5.8cmapart is connected across the term

ID: 2285747 • Letter: A

Question

A parallel-plate capacitor having plates 5.8cmapart is connected across the terminals of a 12Vbattery.
Part A
Being as quantitative as you can, describe the location of the equipotential surface that is at a potential of 6.2Vrelative to the potential of the negative plate. Avoid the edges of the plates.
d=   cm from the negative plate.
Part B
Do the same for the equipotential surface that is at 2.2V relative to the negative plate.
d=     cm from the negative plate.
Part C
What is the potential gradient between the plates?
E=   V/m

Explanation / Answer

a) it will changelinearly across the capacitor

V/Vtotal = x/d

6.2/12 = x/5.8

x = 5.8*6.2/12= 3.0 cm

b)
x = 5.8*2.2/12= 1.06 cm

c) E = V/d = 12/0.058= 206.9 V/m