An isolated charged conducting sphere has a radius R = 15.0 cm. At a distance of r = 25.0 cm from the center of the . sphere the electric field due to the sphere has a magnitude of E = 4.90 × 104 N/C. %3D (a) What is its surface charge density (in µC/m²)? 12.04e-9X What is the electric field outside of a spherical charge distribution? From this, what is the charge? What is the surface area of a sphere? µC/m² (b) What is its capacitance (in pF)? 16.014 What is the potential difference between the surface of a uniformly charged sphere and infinity? What is the definition of capacitance? pF (c) What If? A larger sphere of radius 26.0 cm is now added so as to be concentric with the first sphere. What is the capacitance (in pF) of the two-sphere system? 39.14 v pF

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An isolated charged conducting sphere has a radius R = 15.0 cm. At a distance of r = 25.0 cm from the center of the .
sphere the electric field due to the sphere has a magnitude of E = 4.90 × 104 N/C.
%3D
(a) What is its surface charge density (in µC/m²)?
12.04e-9X
What is the electric field outside of a spherical charge distribution? From this, what is the charge? What is the
surface area of a sphere? µC/m²
(b) What is its capacitance (in pF)?
16.014
What is the potential difference between the surface of a uniformly charged sphere and infinity? What is the
definition of capacitance? pF
(c) What If? A larger sphere of radius 26.0 cm is now added so as to be concentric with the first sphere. What is the
capacitance (in pF) of the two-sphere system?
39.14
v pF
Transcribed Image Text:An isolated charged conducting sphere has a radius R = 15.0 cm. At a distance of r = 25.0 cm from the center of the . sphere the electric field due to the sphere has a magnitude of E = 4.90 × 104 N/C. %3D (a) What is its surface charge density (in µC/m²)? 12.04e-9X What is the electric field outside of a spherical charge distribution? From this, what is the charge? What is the surface area of a sphere? µC/m² (b) What is its capacitance (in pF)? 16.014 What is the potential difference between the surface of a uniformly charged sphere and infinity? What is the definition of capacitance? pF (c) What If? A larger sphere of radius 26.0 cm is now added so as to be concentric with the first sphere. What is the capacitance (in pF) of the two-sphere system? 39.14 v pF
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