Answer:
The fraction fraction of the final energy is stored in an initially uncharged capacitor after it has been charging for 3.0 time constants is
![k = 0.903](https://tex.z-dn.net/?f=k%20%20%3D%200.903)
Explanation:
From the question we are told that
The time constant ![\tau = 3](https://tex.z-dn.net/?f=%5Ctau%20%20%3D%20%203)
The potential across the capacitor can be mathematically represented as
![V = V_o (1 - e^{- \tau})](https://tex.z-dn.net/?f=V%20%20%3D%20%20V_o%20%20%281%20-%20%20e%5E%7B-%20%5Ctau%7D%29)
Where
is the voltage of the capacitor when it is fully charged
So at
![V = V_o (1 - e^{- 3})](https://tex.z-dn.net/?f=V%20%20%3D%20%20V_o%20%20%281%20-%20%20e%5E%7B-%203%7D%29)
![V = 0.950213 V_o](https://tex.z-dn.net/?f=V%20%20%3D%20%200.950213%20V_o)
Generally energy stored in a capacitor is mathematically represented as
![E = \frac{1}{2 } * C * V ^2](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B1%7D%7B2%20%7D%20%2A%20C%20%20%2A%20V%20%5E2)
In this equation the energy stored is directly proportional to the the square of the potential across the capacitor
Now since capacitance is constant at
The energy stored can be evaluated at as
![V^2 = (0.950213 V_o )^2](https://tex.z-dn.net/?f=V%5E2%20%3D%20%20%280.950213%20V_o%20%29%5E2)
![V^2 = 0.903 V_o ^2](https://tex.z-dn.net/?f=V%5E2%20%3D%20%200.903%20%20V_o%20%5E2)
Hence the fraction of the energy stored in an initially uncharged capacitor is
![k = 0.903](https://tex.z-dn.net/?f=k%20%20%3D%200.903)
Both planets are similar in shape and have a rocky surface. Not sure about the phases though
<span>5.82 x 10-49 joules7.62 x 10-19 joules8.77 x 10-12 joules1.09 x 10-12<span> joules </span><span>answer is b</span></span>
Answer:
Its acceleration is positive
Explanation:
As the car is moving in the negative x-direction than after applying brake then there will be a decrease in the acceleration but in the opposite direction.
As decreasing acceleration consider to be negative but the car is moving in negative direction which means increasing acceleration is negative by sign convention but by applying brake acceleration decrease but in opposite direction than it will give positive value of acceleration.
Answer:
An arrow represents displacement. Because it's a vector quantity.
Vector quantity= Direction+Magnitude
When an arrow is put above a unit like
it means that it's a vector quantity.
Hope this helps ;) ❤❤❤