Answer in Electric Circuits

Explanations & Calculations

 

  • A Capacitor, when connected to a voltage source, stores electrical charges on both its conducting plates until the potential difference between those plates get equal to that of the external source.
  • For a given capacitance & a voltage source, it stores a fixed amount of charges according to the equation “small Q=CV”
  • Once the voltage source is removed, the capacitor retains those stored charges on it & the potential difference between the plates still remains in the previous value.
  • According to the definition of the capacitance—how many charges stores under a unit voltage—what happens after capacitance decreased is that those stored charges equivalents to some higher potential difference or that much of charges could be stored in that capacitor under comparatively higher potential difference.
  • Energy stored in a capacitor is given by “small W=largefrac{1}{2}frac{Q^2}{C}”. According to that energy stored in it increases as the capacitance is decreased.
  • The assumption made here is “no charge loss”.

 

1)

  • Charges stored in the capacitor in the first arrangement,

“qquadqquadnbegin{aligned}nsmall Q_i&= C_iV_i\n&= small (5times10^{-10}F)(200V)\n&=small 1times10^{-7},Cnend{aligned}”

2)

  • After the capacitance decreased,new potential difference would be

“qquadqquadnbegin{aligned}nsmall Q_i&= small C_{new}V_{new}\nsmall 1times10^{-7}&= small (1times10^{-10}F).V_{new}\nsmall V_{new}&= small 10^3\nsmall V_{new}&=small bold{1000V} nend{aligned}”

3)

  • Work needs to be done to change the capacitance is

“qquadqquadnbegin{aligned}nsmall Delta W&= small W_{new}-W_i\n&= small frac{1}{2}frac{Q^2}{C_{new}}-frac{1}{2}frac{Q^2}{C_i}\n&= small frac{Q^2}{2}bigg[frac{1}{C_{new}}-frac{1}{C_i}bigg] \n&= small frac{(1times10^{-7}C)^2}{2}bigg[frac{1}{1times10^{-10}F}-frac{1}{5times10^{-10}F}bigg]\n&=smallbold{4times10^{-5}J}nend{aligned}”

Place an order and get the best paper writers

Calculate the price
Make an order in advance and get the best price
Pages (550 words)
$0.00
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Upload your instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with TheBestPaperWriters
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
Testimonials
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
Theology
Job well done and completed in a timely fashioned!
Customer 452451, November 18th, 2022
Business Studies
Job well done. Finish paper faster than expected. Thank you!
Customer 452451, October 3rd, 2022
Architecture, Building and Planning
The assignment was well written and the paper was delivered on time. I really enjoyed your services.
Customer 452441, September 23rd, 2022
Nursing
The paper was EXCELLENT. Thank you
Customer 452449, September 23rd, 2022
Anthropology
excellent loved the services
Customer 452443, September 23rd, 2022
English 101
Very good job. I actually got an A
Customer 452443, September 25th, 2022
Psychology
Thanks a lot the paper was excellent
Customer 452453, October 26th, 2022
Anthropology
Excellent services will definitely come back
Customer 452441, September 23rd, 2022
Business Studies
Thank you!
Customer 452451, November 27th, 2022
11,595
Customer reviews in total
96%
Current satisfaction rate
3 pages
Average paper length
37%
Customers referred by a friend
OUR GIFT TO YOU
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat