A thin spherical shell made of plastic carries a uniformly distributed negative

Question

A thin spherical shell made of plastic carries a uniformly distributed negative charge -5e-10 coulombs (indicated as -Q1 in the diagram). Two large thin disks made of glass carry uniformly distributed positive and negative charges 1.3e-05 coulombs and -1.3e-05 coulombs (indicated as +Q2 and -Q2 in the figure). The radius R1 of the plastic spherical shell is 7 mm, and the radius R2 of the glass disks is 4 meters. The distance d from the center of the spherical shell to the positive disk is 18 mm.

A thin spherical shell made of plastic carries a uniformly distributed negative charge -5e-10 coulombs (indicated as -Q1 in the diagram). Two large thin disks made of glass carry uniformly distributed positive and negative charges 1.3e-05 coulombs and -1.3e-05 coulombs (indicated as +Q2 and -Q2 in the figure). The radius R1 of the plastic spherical shell is 7 mm, and the radius R2 of the glass disks is 4 meters. The distance d from the center of the spherical shell to the positive disk is 18 mm. Find the potential difference V1 - V2, Point 1 is the center of the plastic sphere, and point 2 is just outside the sphere. volts Find the potential difference V2 - V3, Point 2 is the center of the plastic sphere, and point 3 is right beside the positive glass disk. volts Remember the sign of potential difference is important.

Explanation / Answer

A)

dV = -(QC/(pi*(R2^2))/e)*R1

dV = -((1.3e-5)/(3.1416*(4*4))/8.85e-12) * 0.007

dV = -205 V

B)

dV = -(((9*10^9)*((Qsphere/D)-(Qsphere/R1))) + (QC/(pi*(R2^2))/e)*(D-R1))
dV = -(((9e9)*((5e-10/0.018)-(5e-10/0.007))) + (1.3e-5/(3.1416*(4*4))/8.85e-12)*(0.018-0.007))

dV = -714 V

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