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dancingmonkey
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An infinitely long solid insulating cylinder of radius a = 5.3 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 45 μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.2 cm, and outer radius c = 16.2 cm. The conducting shell has a linear charge density λ = -0.42μC/m.
1)What is Ey(R), the y-component of the electric field at point R, located a distance d = 44 cm from the origin along the y-axis as shown?
2)What is V(P) – V(R), the potential difference between points P and R? Point P is located at (x,y) = (44 cm, 44 cm).
E = Qenc/[itex]\epsilon[/itex]
E = [2k([itex]\lambda[/itex](cylinder) + [itex]\lambda[/itex](shell))]/r
[itex]\lambda[/itex]c = [itex]\rho[/itex]*A
= [itex]\rho[/itex]*2[itex]\pi[/itex]*0.053*0.044
= 7.0*10^-6 C/m
E = (2*(8.99*10^9)*(7.0*10^6+(-4.2*10^-7)))/0.44m
= 268883 N/C
But that answer is not correct. Please help me! I would appreciate detailed explanation or work, thank you!
1)What is Ey(R), the y-component of the electric field at point R, located a distance d = 44 cm from the origin along the y-axis as shown?
2)What is V(P) – V(R), the potential difference between points P and R? Point P is located at (x,y) = (44 cm, 44 cm).
E = Qenc/[itex]\epsilon[/itex]
E = [2k([itex]\lambda[/itex](cylinder) + [itex]\lambda[/itex](shell))]/r
[itex]\lambda[/itex]c = [itex]\rho[/itex]*A
= [itex]\rho[/itex]*2[itex]\pi[/itex]*0.053*0.044
= 7.0*10^-6 C/m
E = (2*(8.99*10^9)*(7.0*10^6+(-4.2*10^-7)))/0.44m
= 268883 N/C
But that answer is not correct. Please help me! I would appreciate detailed explanation or work, thank you!