A capacitor is attached to a battery. It has initial capacitance Co, voltage Vo, charge Qo, and energy Uo. Let's put some dielectric material of dielectric constant k in there in two different ways. For each case, figure out the following for the resulting "new" capacitor: C, V, Q, and U, in terms of the old value and K. The capacitor is left attached to the battery. A slab of dielectric material with K=3 is inserted into the capacitor without otherwise disturbing it. In terms of the initial values, what are the new values? The capacitor is disconnected from the battery after it is charged up to Qo. Then, a slab of dielectric material with K=3 is inserted into the capacitor without anybody touching the plates or otherwise disturbing the capacitor. In terms of the initial values, what are the new values?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter27: Capacitors And Batteries
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A capacitor is attached to a battery. It has initial capacitance Co, voltage Vo, charge Qo, and energy Uo.
Let's put some dielectric material of dielectric constant K in there in two different ways. For each case, figure out the
following for the resulting "new" capacitor: C, V, Q, and U, in terms of the old value and K.
The capacitor is left attached to the battery. A slab of dielectric material with K=3 is inserted into the capacitor
without otherwise disturbing it. In terms of the initial values, what are the new values?
The capacitor is disconnected from the battery after it is charged up to Qo. Then, a slab of dielectric material with
K=3 is inserted into the capacitor without anybody touching the plates or otherwise disturbing the capacitor. In
terms of the initial values, what are the new values?
Transcribed Image Text:A capacitor is attached to a battery. It has initial capacitance Co, voltage Vo, charge Qo, and energy Uo. Let's put some dielectric material of dielectric constant K in there in two different ways. For each case, figure out the following for the resulting "new" capacitor: C, V, Q, and U, in terms of the old value and K. The capacitor is left attached to the battery. A slab of dielectric material with K=3 is inserted into the capacitor without otherwise disturbing it. In terms of the initial values, what are the new values? The capacitor is disconnected from the battery after it is charged up to Qo. Then, a slab of dielectric material with K=3 is inserted into the capacitor without anybody touching the plates or otherwise disturbing the capacitor. In terms of the initial values, what are the new values?
Expert Solution
Step 1

Capacitance of a capacitor is dielectric constant times the initial capacitance of vacuum (C0

C=kC

U=1/2 QV

U is energy stored in capacitor

Q is the charge of the capacitor

 

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