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What is the total energy stored in a SpF capacitor connected to a 500Vbattery?...

Question

What is the total energy stored in a SpF capacitor connected to a 500Vbattery?

What is the total energy stored in a SpF capacitor connected to a 500Vbattery?



Answers

A 12.0 -V battery is connected to a $4.50-\mu \mathrm{F}$ capacitor. How much energy is stored in the capacitor?

So this question belongs to the electric potential and potential energy in which we have a child's Q equals to eight million column which is located at the origin. And calculate the work done W in taking a small charge of small Q equals two minus two molecular bait. And to the power minus nine column from point P. That is equal to zero comma zero comma three centimeter. Who a point Q. Which is zero comma four centimeter comma zero via point capital are that is equal to zero comma six centimeter comma nine centimeters. So we have to calculate the work done to take this job queue from point P to point Q. Okay. And we know that the wagon is dependent on the initial and final situation. So there is no role of this point. Okay. There is no role of this point because the work done will be dependent on the initial and the final situation. Okay, So we can write that the work done W. This will be equals to charge Q manipulated a potential difference. So potential difference will be we two minus 31 Okay. And potential difference is due to this chart. Okay, so we can write that Q. And potential difference we to it will be equals two K. Q divided by de tu minus Q. Sorry, this will be the capital Q charts. Okay. And this will be also capital future because capital futures is creating potential here. Okay, so substituting all the values of ogden W. It will be small charge Q which is a small Q. So small Q is equal to minus two. More player by 10 To the power minus nine Fulham. And from here we can take out this K and Q commons Okay, which is 19 to 10 To the power nine Marbler by capital Q. Which is this value? So eight million column that is eight molecular bait. And to the power minus three and one by D two D two will be this value four centimeter and four centimeter can be converted into meter by multiplying by 10 to the power minus two and minus one by devon. Devon is the initial position, which is three centimeters, so three multiplied by 10 to the power minus two m. Okay, so from here, after solving this completely, we get work done. W this is equal to 1.27 jewels. Okay, so this is the answer for this question. Okay, so this much of what is needed for this process. Okay.

So this question belongs to the capacitor in which we have a capacitor of composite and Sequels to 12 PICO fairer. That is equal to 12 montclair bait. And to the power minus 12 ferret. Okay. And it is connected to a Battery having potentially equals to 50 world. So we have to determine how much electrostatic energy is stored in the capacitor. That is you capital? You Okay. So we know that the energy store by the capacitor in the form of electrostatic energy. It is equals to one by to see we square were seized the capacitance and we use the potential connected. So we're substituting values. So one by two manipulated by sea Which is 12 more player bait. And to the power managed to welfare or player baby which is 50 rolls of 50 world. Holy Square. Okay. And from here after solving we get U. Equals to 1.5 molecular by 10. To the power minus eight jewel. So this becomes the answer for this question and this much of energy is being stored by the capacitor at this 50 world potential difference. Okay.

So now we have a 12 volt battery and it's connected to a capacitor and the capacitor stores 54 micro cool OEMs of charge so that we have V and Q, and we want to figure out the energy stored and the capacitor. And we can't just use 1/2 C V squared. We have to use one with Q V. If you don't remember how to get that, it's pretty easy. We know that C is Q over V just from the normal, uh, relationship between capacitors. Voltage. Okay, so this is Q over v Times B squared. So now we have 1/2 Q V. This is another equation that you should know for, uh, energy stored in capacitors. And the charge we have is 54 micro cool ums means times 10 to the minus six, and then we'll play by the voltage, which is not squared this time. So we get 3.24 times 10 to the minus four jewels

In a given problem, we are having the capacitor, which is having a charge for it states as true 0.5 micro column and he disconnected to a battery whose potential is 6.0 world. We have to find the energy store over the capacitor. So for the energy stored over, the capacity of the expression for the energy will be no you into B. So there it will become, huh? Into 2.5 into 10. Dish apart minus six in order to convert my crew into column. And for we this is six and it really in jewels. So the energy we've come out to be seven wind, five into 10. Dish par minus six use. This is vaccination. This is the value off the energy store over the capacity.


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