24.33   A 12.5-µF capacitor is connected to a power supply that keeps a constant potential difference of 24.0 V across the plates. A piece of material having a dielectric constant of 3.75 is placed between the plates, completely filling the space between them. (a) How much energy is stored in the capacitor before and after the dielectric is inserted? (b) By how much did the energy change during the insertion? Did it increase or decrease?

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Asked Sep 25, 2019
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24.33   A 12.5-µF capacitor is connected to a power supply that keeps a constant potential difference of 24.0 V across the plates. A piece of material having a dielectric constant of 3.75 is placed between the plates, completely filling the space between them. (a) How much energy is stored in the capacitor before and after the dielectric is inserted? (b) By how much did the energy change during the insertion? Did it increase or decrease?

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Expert Answer

Step 1

(a)

The energy stored in the capacitor before the dielectric slab is inserted is,

Substitute the value,

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2 U(12.5)1F |(24.0v) =3.6x103110m] 1J 3.6mJ

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Step 2

The energy stored in the capacitor after the dielectric slab is inserted is,

Substitute the value,

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e v-1сy 2 5(ксјрт v-3(125p-) (з.75)(2.0v} ПuF — 13.5х10*10'm 1J =13.5mJ

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Step 3

(b)

The energy changes during the insertion of the dielectric slab is,

Substit...

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AU=u'-U AU 13.5mJ-3.6mJ 9.9mJ

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