Q1) A spherical conductor (radius = 1.0 cm) with a charge of 2.0 pC is within a
ID: 1778738 • Letter: Q
Question
Q1) A spherical conductor (radius = 1.0 cm) with a charge of 2.0 pC is within a concentric hollow spherical conductor (inner radius = 3.0 cm, outer radius = 4.0 cm) which has a total charge of -3.0 pC. What is the magnitude of the electric field 2.0 cm from the center of these conductors.
Q2)A charge is uniformly distributed along the entire x-axis. If each 20 cm length of the x-axis carries 2.0 nC of charge. What is the magnitude of the electric field at the point y= 2.0 m, on the y axis?
Q3)A solid nonconducting sphere of radius 12 cm has a charge of uniform density = 6.0 nC/m3 distributed throughout its volume. Determine the magnitude of the electric field 5.0 cm from the center of the sphere
Explanation / Answer
consider a gaussian sphere of radius r = 2 cm
the charge inside the gaussian sphere = q = 2 pC
from gauss law
E*4*pi*r^2 = q/e0
E*4*pi*0.02^2 = 2*10^-12/(8.84*10^-12)
E = 45 N/C
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Q2)
linear charge density lambda = q/l = 2*10^-9/0.2 = 10 nC
electric field E = lambda/(2*pi*e0*y)
E = 10*10^-9/(2*pi*8.84*10^-12*2) = 90 N/C
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Q3)
electric field inside the sphere E = sigma*r/(3*eo)
E = 6*10^-9*0.05/(3*8.84*10^-12) = 11.31 N/C
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