Gauss's Law, electric field of sphere

AI Thread Summary
The discussion focuses on calculating the electric field of a nonconducting sphere with a uniform volume charge density of 410 nC/m³ and a radius of 10.00 cm. The total charge of the sphere is determined to be 1.717 nC. The participants engage in calculating the electric field at various radii: 2.10 cm, 9.90 cm, 10.10 cm, and 13.6 cm, using the formula E = Qr / (4πR³ε₀). One participant confirms their approach to solving the problem by manipulating the equations appropriately. The conversation emphasizes the application of Gauss's Law in determining electric fields for different radii around the charged sphere.
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Q:
A nonconducting sphere of radius 10.00 cm carries a uniform volume charge density ρ = 410 nC/m3.

(a) What is the total charge of the sphere?
1.717 nC

Find the electric field at the following radii.

(b) r = 2.10 cm
_____N/C

(c) r = 9.90 cm
_____kN/C

(d) r = 10.10 cm
_____N/C

(e) r = 13.6 cm
_____N/C


My attempt at the problem, after manipulating the equation EV=charge inside/[8.85x10^(-12)], was just to insert values into E=Qr/[(4*pi*R^3)*8.85x10^(-12)]; where Q is defined as the total charge, r the radius asked to calculate and R the initial radius.
 
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