What is the probablity that electron will escape?

Question

One negative charge -Q is held in fixed position (x,y,z) = (1/4,1/4,1/4),
another charge is positive +2Q at (x,y,z) = (1,1,1).

What is the probablity that electron randomly placed
inside the cube 0

'I can see no way to calculate this volume that is not very messy'

Once you write the condition V(r) = 0,
you'll see if it's messy or not.

Answer 1

It will escape to infinity only in small volume near -q with the boundary defined by the V=0 equal potential surface. I can see no way to calculate this volume that is not very messy, but you can estimate the radius of a sphere on a line connecting the charges and use that to get a volume,.

Answer 2

the interest right here is to locate the quantity in the cube this is interior the flair nicely (or hill) of the constructive charge. So locate the flair everywhere making use of the huge-unfold technique V = -kq/r on each charge and including them up making use of the superposition critical. Take the gradient of this function and set it to 0. this would desire to offer you a floor. Pray to the gods of possible issues that the exterior has some tractable form and you'd be able to locate the quantity around the constructive charge enclosed via the exterior and the cube. good luck.

Answer 3

It depends. If an electron is well-fed, it has no desire to escape. Then it changes into a neutron, or occasionally converts the atom to a radioactive isotope.

Answer 4

answer in basic electronics book you will loose electrons thats called a hole charge but a floater will come by and fill it up this all happens at 186,000 mile a sec so don't look for it oh there goes one now

Answer 5

10% because electrons stay in their position 90% of the time, or thats what I learned in Honors Chemistry

Answer 6

that is no probability. it depends on what types of electrons you want (one of all elements).