Question

A charge of 3.30 µC is uniformly distributed on a ring of radius 8.0 cm. Find the electric field strength on the axis at the following locations.

(a) 1.2 cm from the center of the ring
  N/C

(b) 4.4 cm from the center of the ring
  N/C

(c) 4.0 m from the center of the ring
  N/C

(d) Find the field strength at 4.0 m using the approximation that the ring is a point charge at the origin.
  N/C

(e) Compare your results for parts (c) and (d) by finding the ratio of the approximation to the exact result.


(f) Is your approximation result a good one? Explain your answer. (Do this on paper. Your instructor may ask you to turn in your work.)

1. [2/4.5 Points] DETAILS PREVIOUS ANSWERS TIPLER6 22.P.015. A charge of 3.30 PC is uniformly distributed on a ring of radius 8.0 cm. Find the electric field strength on the axis at the following locations. (a) 1.2 cm from the center of the ring 671748 N/C (b) 4.4 cm from the center of the ring 171319.3406 X N/C (c) 4.0 m from the center of the ring 165659.09 X N/C (d) Find the field strength at 4.0 m using the approximation that the ring is a point charge at the origin. 1852 N/C (e) Compare your results for parts (C) and (d) by finding the ratio of the approximation to the exact result. 0.01118 x (f) Is your approximation result a good one? Explain your answer. (Do this on paper. Your instructor may ask you to turn in your work.)

Answer 1

ХА В = 3.3oxo Re8an = + 8xto-2 9 2 + + + + (a.) electric field strength at distance se on the axis of ring Ex = kgx R2, 2)3/n. коле, x= 1.2an =12x102 m Ең 9xo4 х 3. Зох to 6 x / 2xo-2 32 (вхо??) Ctray 10-202) 32- Ex = 6.43 xos No (В) «Os; =9:9 м = 4:Чио 3 м Єr = kQх (е? -13/2 = 4x01 3,30х10-6. х44х10 -2 (( 8x102)2+ (ч.чхо-))/2 Ex= 17.17x105 N/c (c.) none;' x=4m ... Ey = 9x юx3. Зохо-6 х+10 (83 312 Ex= 18.55x102 Nic csscanned with CamScanner

as paint charge edio uanly let us consider the rang i electric field at a distance kg qx200x313x10-6 x=4 un >> EO x2 2 | 6 = 56.25x107 Nic (e), nowy ratio of of auswers en (e) and Eo 7 56125x10 3.03x105 x 18.55 X102 ca) the as a of the approximation of consi considering ring point elarge goed idea because the ratio electric fields in these 2 cases in very huge, us NOT a ef CScanned with CamScanner