Two isolated, concentric, conducting spherical shells have radii R 1 = 0.500 m a

Question

Two isolated, concentric, conducting spherical shells have radii R1 = 0.500 m and R2 = 1.10 m, uniform charges q1 = +3.40 ?C and q2 = +1.40 ?C, and negligible thicknesses. What is the magnitude of the electric field E at radial distance (a)r = 5.50 m, (b)r = 0.760 m, and (c)r = 0.300 m? With V= 0 at infinity, what is V (in V) at (d)r = 5.50 m, (e)r = 1.10 m, (f)r = 0.760 m, (g)r = 0.500 m, (h)r = 0.300 m, and (i)r = 0?

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

(a)

N/C Two isolated, concentric, conducting spherical shells have radii R1 = 0.500 m and R2 = 1.10 m, uniform charges q1 = +3.40 ?C and q2 = +1.40 ?C, and negligible thicknesses. What is the magnitude of the electric field E at radial distance (a)r = 5.50 m, (b)r = 0.760 m, and (c)r = 0.300 m? With V= 0 at infinity, what is V (in V) at (d)r = 5.50 m, (e)r = 1.10 m, (f)r = 0.760 m, (g)r = 0.500 m, (h)r = 0.300 m, and (i)r = 0?

Explanation / Answer

Two isolated, concentric, conducting spherical shells have radii R1 = 0.500 m and R2 = 1.10 m, uniform charges q1 = +3.40 ?C and q2 = +1.40 ?C, and negligible thicknesses. What is the magnitude of the electric field E at radial distance

(a) r = 5.50 m,

E = k (q1 + q2)/r^2

E = 9e9*(3.4e-6 + 1.4e-6)/(5.5*5.5)

E = 1430 N/C

(b) r = 0.760 m

E = k (q1)/r^2

E = 9e9*(3.4e-6)/(0.76*0.76)

E = 5.30 x 10^4 N/C

(c) r = 0.300 m

E = 0 N/C

(d) r = 5.50 m,

V = k (q1+q2)/r

V = 9e9*(3.4e-6 + 1.4e-6)/(5.5)

V = 7850 V

(e) r = 1.10 m,

V = k (q1+q2)/r

V = 9e9*(3.4e-6 + 1.4e-6)/(1.10)

V = 39300 V

(f) r = 0.760 m,

V = 39300 + 9e9*3.4e-6 * (1/0.760 - 1/1.10)

V = 51700 V

(g) r = 0.500 m

V = 39300 + 9e9*3.4e-6 * (1/0.500 - 1/1.10)

V = 72700 V

(h) r = 0.300 m

V = 72700 V

(i)r = 0

V = 72700 V

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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