Concept Simulation 20.4 provides background for this problem and gives you the opportunity to verify your answer graphically. How many time constants (a decimal number) must elapse before a capacitor in a series RC circuit is charged to 83.0% of its equilibrium charge?

The number of time constants is

Explanation:

Let us denote the equilibrium charge with

    From the question we are told that

       for the duration we are to obtain the final charge on the capacitor should be 83% of

Generally in an RC circuit an equation that defines charge after a time t is  mathematically represented as

Where q is the final charge = 83%  = 0.83

           RC is the time constant

Substituting values

    Taking natural log of both sides

=>        

Since RC is the time constant then the number of time constant is

The time constant is 1.772

Explanation:

Given that,

Charge,  

We need to calculate the time constant

Using expression for charging in a RC circuit

Where, = time constant

Put the value into the formula

Thus, The time constant is 1.772

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.

mistakes are ok