ps2 (1).pdf O file:///C:/Users/krada/Downloads/ps2%20(1).pdf of 2 O O Fit to page D Page view A) Read aloud 1. Add notes 3. Consider the following model the hydrogen atom. A small point change of +q is surrounded by a spherical distribution of negative charge of the form p = po exp(-r/ro). Using the fact that hydrogen atom is neutral, find po in terms of q and ro. (b) Find the electric fields at any distance r from the center 4. A ring of radius a lies on the yz plane and has uniform positive charge Q. A small particle of mass m and charge -q is place in the x-axis. (a) Show for x < a, the electric field is proportional to x. (b) Find the force on the particle as a function of x for x < a. (c) Show that if the particle has a small displacement in +x, it will undergo simple harmonic motion. (d) What is the angular frequency w of this nter of the ring and constrained to move on the motion? 1 5. A uniformly charged solid sphere of radius R has a volume charge density of p. (a) Show distance r from the center, the electric field is E = £rî (b) hollows out the sphere as shown below. Find the elctric field at 1 (the center) and 2 (the surface). Hint: model the sphere with cavity as two spheres with equal but opposite charge that at uppose someon densities. 10:13 PM Start a search 2/6/2020
ps2 (1).pdf O file:///C:/Users/krada/Downloads/ps2%20(1).pdf of 2 O O Fit to page D Page view A) Read aloud 1. Add notes 3. Consider the following model the hydrogen atom. A small point change of +q is surrounded by a spherical distribution of negative charge of the form p = po exp(-r/ro). Using the fact that hydrogen atom is neutral, find po in terms of q and ro. (b) Find the electric fields at any distance r from the center 4. A ring of radius a lies on the yz plane and has uniform positive charge Q. A small particle of mass m and charge -q is place in the x-axis. (a) Show for x < a, the electric field is proportional to x. (b) Find the force on the particle as a function of x for x < a. (c) Show that if the particle has a small displacement in +x, it will undergo simple harmonic motion. (d) What is the angular frequency w of this nter of the ring and constrained to move on the motion? 1 5. A uniformly charged solid sphere of radius R has a volume charge density of p. (a) Show distance r from the center, the electric field is E = £rî (b) hollows out the sphere as shown below. Find the elctric field at 1 (the center) and 2 (the surface). Hint: model the sphere with cavity as two spheres with equal but opposite charge that at uppose someon densities. 10:13 PM Start a search 2/6/2020
ps2 (1).pdf O file:///C:/Users/krada/Downloads/ps2%20(1).pdf of 2 O O Fit to page D Page view A) Read aloud 1. Add notes 3. Consider the following model the hydrogen atom. A small point change of +q is surrounded by a spherical distribution of negative charge of the form p = po exp(-r/ro). Using the fact that hydrogen atom is neutral, find po in terms of q and ro. (b) Find the electric fields at any distance r from the center 4. A ring of radius a lies on the yz plane and has uniform positive charge Q. A small particle of mass m and charge -q is place in the x-axis. (a) Show for x < a, the electric field is proportional to x. (b) Find the force on the particle as a function of x for x < a. (c) Show that if the particle has a small displacement in +x, it will undergo simple harmonic motion. (d) What is the angular frequency w of this nter of the ring and constrained to move on the motion? 1 5. A uniformly charged solid sphere of radius R has a volume charge density of p. (a) Show distance r from the center, the electric field is E = £rî (b) hollows out the sphere as shown below. Find the elctric field at 1 (the center) and 2 (the surface). Hint: model the sphere with cavity as two spheres with equal but opposite charge that at uppose someon densities. 10:13 PM Start a search 2/6/2020
4. A ring of radius a lies on the yz plane and has uniform positive charge Q. A small particle of mass m and charge−q is place in the center of the ring and constrained to move on the x-axis. (a) Show for x a, the electric field is proportional to x. (b) Find the force on the particle as a function of x for x a. (c) Show that if the particle has a small displacement in +x, it will undergo simple harmonic motion. (d) What is the angular frequency ω of this motion?
Transcribed Image Text:ps2 (1).pdf
O file:///C:/Users/krada/Downloads/ps2%20(1).pdf
of 2 O
O Fit to page
D Page view
A) Read aloud
1. Add notes
3. Consider the following model the hydrogen atom. A small point change of +q is surrounded
by a spherical distribution of negative charge of the form p = po exp(-r/ro). Using the fact
that hydrogen atom is neutral, find po in terms of q and ro. (b) Find the electric fields at any
distance r from the center
4. A ring of radius a lies on the yz plane and has uniform positive charge Q. A small particle
of mass m and charge -q is place in the
x-axis. (a) Show for x < a, the electric field is proportional to x. (b) Find the force on the
particle as a function of x for x < a. (c) Show that if the particle has a small displacement
in +x, it will undergo simple harmonic motion. (d) What is the angular frequency w of this
nter of the ring and constrained to move on the
motion?
1
5. A uniformly charged solid sphere of radius R has a volume charge density of p. (a) Show
distance r from the center, the electric field is E = £rî (b)
hollows out the sphere as shown below. Find the elctric field at 1 (the center) and 2 (the
surface). Hint: model the sphere with cavity as two spheres with equal but opposite charge
that at
uppose someon
densities.
10:13 PM
Start a search
2/6/2020
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
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