Four point charges are individually brought from infinity and placed at the corners of a square. each charge has the identical value +q. the length of the diagonal of the square is 2a. what is the electric potential at p, the center of the square?

a. kq/4a
b. kq/a
c. zero volts
d. 2kq/a
e. 4kq /a

To solve this problem we will apply the concept of voltage given by Coulomb's laws. From there we will define the charges and the distance, and we will obtain the total value of the potential difference in the system.

The length of diagonal is given as

The distance of the center of the square from each of the corners is

The potential electric at the center due to each cornet charge is

The total electric potential at the center of the given square is

Al the charges are equal, and the distance are equal to a, then

Therefore the correct option is E.

sleep paralysis is a parasomnia, events associated with sleep.

sleep paralysis happens when you are in the middle of waking up or falling asleep. it is the feeling of being conscious but unable to move. it definitely involves hallucinations.

i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.

0.19 m/s and 0.45 m/s