A nucleus of oxygen contains 8 protons. (a) Calculate the electric force it would exert on an electron situated at a distance of 60 pm (=60×10-12 m), and the acceleration with which the electron would move. (b) Since the nucleus of oxygen has radius 2.8 fm (= 2.8×10-15 m), calculate the average charge density associated with a nucleus of oxygen. You now pack 1012 nuclei of oxygen into a spherical volume of radius 1.0 m. (c) Calculate the electric field generated by such charge distribution at a distance of 2.0 m from the center. (d) Calculate the equivalent resistance and equivalent capacitance of the two circuits in Figure. If a resistance R = 1802 and capacitance C=2.1 uF are put in series with an inductance L= 0.05 H in an AC circuit, what would the resonance frequency be? 50_2 + ww 100.0 M 200 W 400 7002 3522 www www 4MF 4,µF 6 MF 12 MF 4 MF 4MF HHH HHH ZUF 102 502 wwww www 152

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 40PQ
Question
A nucleus of oxygen contains 8 protons.
(a) Calculate the electric force it would exert on an electron situated at a distance
of 60 pm (=60×10-12 m), and the acceleration with which the electron would
move.
(b) Since the nucleus of oxygen has radius 2.8 fm (= 2.8×10-15 m), calculate the
average charge density associated with a nucleus of oxygen.
You now pack 1012 nuclei of oxygen into a spherical volume of radius 1.0 m.
(c) Calculate the electric field generated by such charge distribution at a distance of
2.0 m from the center.
(d) Calculate the equivalent resistance and equivalent capacitance of the two circuits
in Figure.
If a resistance R = 1802 and capacitance C=2.1 uF are put in series with an inductance
L= 0.05 H in an AC circuit, what would the resonance frequency be?
50_2
+
ww
100.0
M
200
W
400
7002
3522
www
www
4MF 4,µF
6 MF
12 MF
4 MF
4MF
HHH
HHH
ZUF
102
502
wwww
www
152
Transcribed Image Text:A nucleus of oxygen contains 8 protons. (a) Calculate the electric force it would exert on an electron situated at a distance of 60 pm (=60×10-12 m), and the acceleration with which the electron would move. (b) Since the nucleus of oxygen has radius 2.8 fm (= 2.8×10-15 m), calculate the average charge density associated with a nucleus of oxygen. You now pack 1012 nuclei of oxygen into a spherical volume of radius 1.0 m. (c) Calculate the electric field generated by such charge distribution at a distance of 2.0 m from the center. (d) Calculate the equivalent resistance and equivalent capacitance of the two circuits in Figure. If a resistance R = 1802 and capacitance C=2.1 uF are put in series with an inductance L= 0.05 H in an AC circuit, what would the resonance frequency be? 50_2 + ww 100.0 M 200 W 400 7002 3522 www www 4MF 4,µF 6 MF 12 MF 4 MF 4MF HHH HHH ZUF 102 502 wwww www 152
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