where did the energy come from?

A parallel-plate capacitor is charged and then kept connected with a 5V battery.
Then, the plate separation is decreased by a factor of 4, d_new=1/4 d_old,
please type in a number into the box to determine how everything changes.
(If something doesn’t change, please type in 1 to answer X_new= 1 X_old.)
(a) By what fraction does the capacitance change? C_new=  C_old;
(b) By what fraction does the amount of charge change? Q_new=  Q_old (When the battery is connected, charges can keep moving and the charge may not stay to be the same.)
(c) By what fraction does the voltage difference between the two plates change? ?V_new=  ?V_old (When the battery is always connected, the voltage difference across the capacitor will be always equal to the battery voltage).
(d) By what fraction does the energy stored in the capacitor change? U_new=  U_old
Does it make sense? Let’s check, considering the amount of charge and the area of the plate,
(e) by what fraction does the amount of charge density change? ?_new=  ?_old
(f) Consider how E is related to the charge density, by what fraction does the E field change? E_new=  E_old.
Considering how E, d and voltage difference are related, does it make sense now, how E, and d change to keep the voltage difference unchanged?
Please explain why the energy stored in the capacitor changes? If it increased, where did the energy come from? If it decreased, where could the energy go?

Solution Preview (We have completed a similar project; please click on the image below to preview and click order now to get a unique plagiarism-free solution from us). We are always happy to serve you!)


Just in case you need an assignment done, hire us. Using our writing services will make your life easier because we deliver exceptional results. Use us to get an A!

We are the Best!


275 words per page

You essay will be 275 words per page. Tell your writer how many words you need, or the pages.

12 pt Times New Roman

Unless otherwise stated, we use 12pt Arial/Times New Roman as the font for your paper.

Double line spacing

Your essay will have double spaced text. View our sample essays.

Any citation style

APA, MLA, Chicago/Turabian, Harvard, our writers are experts at formatting.

We Accept

Secure Payment
Image 3