A nonconducting sphere 1.8 m in diameter with its center on the x axis at x = 4

Question

A nonconducting sphere 1.8 m in diameter with its center on the x axis at x = 4 m carries a uniform volume charge of density = 4.3 µC/m3. Surrounding the sphere is a spherical shell with a diameter of 3.6 m and a uniform surface charge density = -0.6 µC/m2. Calculate the magnitude and direction of the electric field at the following locations.

(a) x = 4.8 m, y = 0.

my answer: 129619.2 N/C i + 0 N/C j --------> correct

(b) x = 4 m, y = 1.7 m.

my answer: 0 N/C i + 40870.4 N/C j -------> correct

(c) x = 2.0 m, y = 2.0 m

? N/C i + ? N/C j ---------> i coud not find them.

Explanation / Answer

c)DIstance from centre of sphere distance d =sqrt(2^2+2^2)

d = 2.828 m

Charge enclosed by a gaussian sphere passing through the this

point = 4.3*4/3*pi*0.9^3-0.6*4/3*pi*(2.828^3-0.9^3)

q = 41.88 uC

Ex=kq/r^2*/sqrt(8)

Ex =9*10^9*-41.88*10^-6/(2.828)^2*-2/sqrt(8)

Ex =33325 N/C i

Ey=kq/r^4*/sqrt(8)

Ey =9*10^9*-41.88*10^-6/(2.828)^2*4/sqrt(8)

Ey =-66650.8 N/C j

E= 33325i - 66650.8 j

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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