A charge i is distributed inside a sphere of radius a with density pi(r) that varies with distance r from the center of the sphere. A second spherical charge distribution - charge q2, density P2(r) and radius az, is placed with its center a distance r> (a, +az) from the center of qi. Calculate the force on q exerted by q2.
A charge i is distributed inside a sphere of radius a with density pi(r) that varies with distance r from the center of the sphere. A second spherical charge distribution - charge q2, density P2(r) and radius az, is placed with its center a distance r> (a, +az) from the center of qi. Calculate the force on q exerted by q2.
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Need help with a electric force problem. Thank you!
Transcribed Image Text:A charge q is distributed inside a sphere of radius aj with density p1(r) that varies with
distance r from the center of the sphere. A second spherical charge distribution - charge q2,
density p2(r) and radius a2, is placed with its center a distance r> (a, +az) from the center
of q1. Calculate the force on qi exerted by q2.
Expert Solution
Step 1
Let both points charge centered at the center of the sphere.
If the charge density is constant for a particular r then the charge can be considered as a point charge.
According to Gauss law,
An electric field will be constant for any point on a sphere of radius r.
An electric field will be constant over dA because of symmetry.
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