A solid plastic sphere of radius R1 = 8.00 cm is concentric with an aluminum spherical shell with inner radius R2 = 14.0 cm and outer radius R3 = 17.0 cm (see figure below). Electric field measurements are made at two points: At a radial distance of 34.0 cm from the center, the electric field has magnitude 8.55 x 103 N/C and is directed radially outward, and at a radial distance of 12.0 cm from the center, the electric field has magnitude 2.35 x 104 N/C and is directed radially inward. What are the net charges on the following? - Plastic R1 R2 · Aluminum R3 (a) the plastic sphere (b) the aluminum spherical shell (c) What are the charges on the inner and outer surfaces of the aluminum spherical shellI? Qinner Qouter

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A solid plastic sphere of radius R1 = 8.00 cm is concentric with an aluminum spherical shell with inner radius R2 = 14.0 cm
and outer radius R3 = 17.0 cm (see figure below). Electric field measurements are made at two points: At a radial distance
of 34.0 cm from the center, the electric field has magnitude 8.55 x 103 N/C and is directed radially outward, and at a radial
distance of 12.0 cm from the center, the electric field has magnitude 2.35 x 104 N/C and is directed radially inward. What are
the net charges on the following?
Plastic
R1
R2
Aluminum
R3
(a) the plastic sphere
(b) the aluminum spherical shell
(c) What are the charges on the inner and outer surfaces of the aluminum spherical shell?
Qinner
Qouter
Transcribed Image Text:A solid plastic sphere of radius R1 = 8.00 cm is concentric with an aluminum spherical shell with inner radius R2 = 14.0 cm and outer radius R3 = 17.0 cm (see figure below). Electric field measurements are made at two points: At a radial distance of 34.0 cm from the center, the electric field has magnitude 8.55 x 103 N/C and is directed radially outward, and at a radial distance of 12.0 cm from the center, the electric field has magnitude 2.35 x 104 N/C and is directed radially inward. What are the net charges on the following? Plastic R1 R2 Aluminum R3 (a) the plastic sphere (b) the aluminum spherical shell (c) What are the charges on the inner and outer surfaces of the aluminum spherical shell? Qinner Qouter
Expert Solution
Given

Given:

Radius of plastic sphere,R1=8cm=8×10-2mInner radius of aluminium spherical shell,R2=14cm=14×10-2mOuter radius of aluminium spherical shell,R3=17cm=17×10-2mOutward Electric Field,EO=8.55×103N/C Inward Electric Field,EI=-2.35×104N/CPermitivity of free space,ε0=8.85×10-12C2/Nm2Inner Radial Distance,Ri=12cm=12×10-2mOuter Radial Distance,RO=34cm=34×10-2m

Gauss's law is law that describes the relationship between the distribution of electric charge and the consequent electric field.

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