A solid non-conducting sphere has a non-uniform charge distribution of p = ar, where r is the radial distance from the sphere's center and a is a constant. If the sphere has a radius of 6 cm and the magnitude of the E field at r = 3 cm from the center is 5.6 N/C, what is the value of a? Assume the charge is positive and the E field points radially outward. You can state your answer in units of C/m4 or µC/m4. Remember that dV for a sphere is 47r²dr.

A solid non-conducting sphere has a non-uniform charge distribution of p = ar, where r is the radial distance from the sphere's center and a is a constant. If the sphere has a radius of 6 cm and the magnitude of the E field at r = 3 cm from the center is 5.6 N/C, what is the value of a? Assume the charge is positive and the E field points radially outward. You can state your answer in units of C/m4 or µC/m4. Remember that dV for a sphere is 47r²dr.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 57P: A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of...

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