TrueThe relationship between the voltage across a capacitor and the current into the capacitor is given by:
\(v(t) = \frac{1}{C}\int i(t)\;dt\)
If there is an initial condition (initial voltage across the capacitor), then that needs to be taken into account.
A short across a voltage will not give a HV spike but a dangerously high discharged current is what you will getThe make before break switch provides a short across the current source before T=0 because an open circuited current source will generate a high (dangerous) voltage.
An open terminal won't have a current flow, and if the voltage is not high enuf to break the di electric you won't get an arcImagine a perfect current source, that could provide 50A no matter what was connected to it. If you left its terminals open, 50A would still pass from one terminal to the other; a high voltage arc, in other words!
NO...you are wrong hereIf you connected such an ideal current to an ideal capacitor, the voltage across the capacitor would rise forever, the voltage becoming very high as time passed.
armaturesBefore time T=0 capacitor is full charge to 15V.
At time T=0 we disconnect voltage source and connect current source.
So capacitor will star charging through 50A current source.
C = Q/V = I*t/V ----> ΔV = I*t/C = 50A*1us/10u = 5V/us
So voltage on capacitor will be ramp up in a straight line to near infinite (5V per 1us).
I found out what I did wrong, someone pointed out v(t)= equation and that led me to the right path.OP what are you trying to do?
What ever it is arcing is the break down of the dielectric in between, which means the insulator is starting to conduct, but arching is seen as the dieclectric breaks down, which is really current is forced through the dielectric.I agree entirely with the Electrician.
R!f@@, if you accept the integral you accept the possibility of 112 V.
This is an ideal current source, it will go however high it wants to.
Arcing is a definite possibility. Minimum arcing voltages are not that high because the spacing is so tiny (the contacts touch after all).
For example:
http://books.google.ca/books?id=qePLhXyx9jIC&pg=PA323&lpg=PA323&dq=contact+protection+voltage&source=bl&ots=O_QNAy-aiY&sig=XNCTEQAkWsEoopZdSRLR3JxV2gg&hl=en&ei=OwbFS7iEG4H_8AbTwqTBDw&sa=X&oi=book_result&ct=result&resnum=6&ved=0CBoQ6AEwBQ#v=onepage&q=table%207-1&f=false
by Aaron Carman
by Robert Keim
by Aaron Carman
by Jake Hertz