Two non-conducting spheres of radii R₁ = 15 mm and R₂ = 6.5 mm are niformly charged with charge densities Q1 = 3.2 μC/m³ and Q2 = 0.7501, respectively. They are eparated by a center-to-center distance a = 5R₁ (see drawing). 0 a R₂ Part (a) Find the magnitude of the electric field, in newtons per coulomb, due to sphere I only, at point P which is located a distance r = 3R₁ from the enter of sphere 1 and in the direction = 32° from the line joining the two spheres. Assume that the center of sphere 1 is located at the origin and that the individua harge densities are not affected by the presence of the other sphere. E₁ = 1 N/C

University Physics Volume 2
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ISBN:9781938168161
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Chapter6: Gauss's Law
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Problem 55P: The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the...
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Two non-conducting spheres of radii R₁ = 15 mm and R₂ = 6.5 mm are
uniformly charged with charge densities Q₁ = 3.2 µC/m³ and Q2 = 0.7501, respectively. They are
separated by a center-to-center distance a = 5R₁ (see drawing).
E₁
0
=
a-
Part (a) Find the magnitude of the electric field, in newtons per coulomb, due to sphere 1 only, at point P which is located a distance r = 3R₁ from the
center of sphere 1 and in the direction = 32° from the line joining the two spheres. Assume that the center of sphere 1 is located at the origin and that the individual
charge densities are not affected by the presence of the other sphere.
N/C
XR₂
Part (b) Find the magnitude of the electric field, in newtons per coulomb, due to sphere 2 only, at point P. Assume that the center of sphere 1 is located at
the origin and that the individual charge densities are not affected by the presence of the other sphere.
Transcribed Image Text:Two non-conducting spheres of radii R₁ = 15 mm and R₂ = 6.5 mm are uniformly charged with charge densities Q₁ = 3.2 µC/m³ and Q2 = 0.7501, respectively. They are separated by a center-to-center distance a = 5R₁ (see drawing). E₁ 0 = a- Part (a) Find the magnitude of the electric field, in newtons per coulomb, due to sphere 1 only, at point P which is located a distance r = 3R₁ from the center of sphere 1 and in the direction = 32° from the line joining the two spheres. Assume that the center of sphere 1 is located at the origin and that the individual charge densities are not affected by the presence of the other sphere. N/C XR₂ Part (b) Find the magnitude of the electric field, in newtons per coulomb, due to sphere 2 only, at point P. Assume that the center of sphere 1 is located at the origin and that the individual charge densities are not affected by the presence of the other sphere.
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OpenStax