5. For a charged disk with radius R and uniform surface charge density o, the electric potential at the center is given by V = oR/2ɛ0. (Here we have taken the potential to be zero at infinity.) b) What is the magnitude of the electric field of the annulus at this center point? c) What force acts on the gold nucleus when it is located there? s on a) Given this, find the electric potential energy of a gold nucleus (with charge +79e), if it happens to be located at the center of a charged annulus as shown. d) The gold nucleus is given a tiny nudge out of the plane of the annulus. What will happen to it? e) Find the speed of the gold nucleus when it gets very far away from the annulus. (Denote the mass of the nucleus by M.) *
5. For a charged disk with radius R and uniform surface charge density o, the electric potential at the center is given by V = oR/2ɛ0. (Here we have taken the potential to be zero at infinity.) b) What is the magnitude of the electric field of the annulus at this center point? c) What force acts on the gold nucleus when it is located there? s on a) Given this, find the electric potential energy of a gold nucleus (with charge +79e), if it happens to be located at the center of a charged annulus as shown. d) The gold nucleus is given a tiny nudge out of the plane of the annulus. What will happen to it? e) Find the speed of the gold nucleus when it gets very far away from the annulus. (Denote the mass of the nucleus by M.) *
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Please answer all and if not please answer a-c
Transcribed Image Text:5. For a charged disk with radius R and uniform
surface charge density ơ, the electric potential
at the center is given by V = oR/2ɛo. (Here we
have taken the potential to be zero at infinity.)
b) What is the magnitude of the electric field of
the annulus at this center point?
c) What force acts on the gold nucleus when it is
located there?
a) Given this, find the electric potential energy of
a gold nucleus (with charge +79e), if it
happens to be located at the center of a
charged annulus as shown.
d) The gold nucleus is given a tiny nudge out of
the plane of the annulus. What will happen to
it?
e) Find the speed of the gold nucleus when it
gets very far away from the annulus. (Denote
the mass of the nucleus by M.) *
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