In the Bohr model of the hydrogen atom, the electron moves in a circular orbit o
ID: 1898651 • Letter: I
Question
In the Bohr model of the hydrogen atom, the electron moves in a circular orbit of radius 5. 3 times 10-11 in with a speed of 2. 2 times 106 m / s. Find the direction of the magnetic field that the electron produces at the location of the nucleus (treated as a point) from the electron toward the electron out of the page into the page If we are viewing the atom in such a way that the electron's orbit is in the plane of the paper with the electron moving clockwise, find the magnitude of the electric field that the electron produces at the location of the nucleus (treated as a point). Express your answer using two significant figures. Find the direction of the electric field that the electron produces at the location of the nucleus (treated as a point). from the electron toward the electron out of the page into the page Find the magnitude of the magnetic field that the electron produces at the location of the nucleus (treated as a point). Express your answer using two significant figures.Explanation / Answer
A)
q E = m v^2/r
E = m v^2/r q = 9.11e-31*2.2e6*2.2e6/(5.3e-11*1.6e-19) = 5.20e11 N/C
B)
toward the electron
C)
time = t = 2r/v = 2*3.1416*5.3e-11/2.2e6 = 1.51368e-16 s
current = q/t = 1.6e-19/1.51368e-16 = 0.00105703
B = i/2r = 4*3.1416e-7*0.00105703/(2*5.3e-11) = 12.5 T
D)
out of the page