calculate the charge on the volume. 2. calculate the magnitude of the electric flux density at a point given as P(R = 8, theta = pi/2, phi = 0).
calculate the charge on the volume. 2. calculate the magnitude of the electric flux density at a point given as P(R = 8, theta = pi/2, phi = 0).
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Question
1. calculate the charge on the volume.
2. calculate the magnitude of the electric flux density at a point given as P(R = 8, theta = pi/2, phi = 0).
Expert Solution
Step 1
Since unit of the r1, r2 and R is not given we assume they are in SI unit.
Given a spherical shell with Inner radius r1=3m, outer radius r2=5m. Having volume charge density rho=2R C/m3 it means density is varying with radius.
Now let's consider a small spherical element with radius r1<R<r2 having thickness dR.
Then the volume of this element will be
Therefore charge in this volume element will be
Therefore total charge in the shell will be
therefore total charge on the volume is 544pi coulomb.
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