Question

3. (a) (6 pts) An electron is orbiting a proton. Find the force between the electron and the proton (b) (8 pts) Find the voltage and the electric field strength this electron sees from the proton (c) (11 pts) in the Bohr model of the hydrogen atom, the electron orbits the proton at the radius of the electron's orbit. Find the current created by the electron orbiting the proton in the Bohr model of the hydrogen atom.

Answer 1

(9) on electron 25-76866490 on proton E512612-12C Separation between electron and charge charge and proton = 7 ri 9x10? then ac accos ording to Coulomb's Law 9.22 4h& Where & = permiffivity of free space Nm/ 4६ F : qxle Numex El06870-'81:6/10/? 82 -20 F 2-23.04 X10 minus sign indicate attractive force Electric field due to proton, с. g2 (b) E = LE change of dentro E = -23.04x10-29 N 2X1•686090 10 14.4 X10 NG

Voltage sees from proton to the électron VE ED Va 14.4 X10 o 72 Nime VE 1004 Ribe Naye In Bohr model of Hydrogen atom, N (C) radius of electron Orbit = 0.53 AⓇ = 053 X 6 m electron I in cinit time flow of charge H Time period Current created by change per charge on electron Time period de_ circumference of Velocity of electron ann v since in Bohr's model U = 20180105 m/s orbit ta

Thes, 7 = 27 x 0. 53x10 lm 218 810 m/s Noo, q I T L*6X6019 C 98.18 x 76®ms 2xX0.53xlolom 1.047 x 163 H Amp II 1.047 mA
Summary: I applied Coulomb law to calculate the force between electron and proton.