Exercise 21.29 A solid sphere 29 cm in radius carries 14 C , distributed uniform

ID: 1586526 • Letter: E

Question

Exercise 21.29
A solid sphere 29 cm in radius carries 14 C , distributed uniformly throughout its volume.

Part A
Find the electric field strength 19 cm from the sphere's center.
Express your answer using two significant figures.
E1= MN/C

Part B
Find the electric field strength 29 cm from the sphere's center.
Express your answer using two significant figures.
E2= MN/C

Part C
Find the electric field strength 58 cm from the sphere's center.
Express your answer using two significant figures.

E3= MN/C

Use Gauss Law:
E*4*pi*r^2 = Qenclosed / ebsoleneo

Qenclosed = Total charge * r^3/R^3
= 14*10^-6 * (0.19)^3 / (0.29)^3
= 3.94*10^-6 C

E1*4*pi*r^2 = Qenclosed / ensoleneo
E1*4*pi*(0.19)^2 = (3.94*10^-6) / (8.854*10^-12)
E1 = 9.8*10^5 N/C
= 0.98 MN/C
Answer: 0.98 MN/C

B)
Qenclosed = Total charge
= 14*10^-6 C

E2*4*pi*r^2 = Qenclosed / ensoleneo
E2*4*pi*(0.29)^2 = (14*10^-6) / (8.854*10^-12)
E 2= 1.4*10^6 N/C
= 1.4 MN/C
Answer: 1.4 MN/C

C)
Qenclosed = Total charge
= 14*10^-6 C

E2*4*pi*r^2 = Qenclosed / ensoleneo
E2*4*pi*(0.58)^2 = (14*10^-6) / (8.854*10^-12)
E 2= 3.7*10^5 N/C
= 0.37 MN/C
Answer: 0.37 MN/C

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.