Consider a long cylindrical charge distribution of radius R = 14 cm with a unifo

Question

Consider a long cylindrical charge distribution of radiusR = 14 cm with a uniformcharge density of = 16C/m3. Find the electric field at a distance r =26 cm from the axis.
Use the charge density to calculate the total charge enclosed bythe Gaussian surface, and use Gauss’s law to find thefield.
I have a formula when r < R but dont knowhow to handle it if r > R. thanks for looking!
Use the charge density to calculate the total charge enclosed bythe Gaussian surface, and use Gauss’s law to find thefield.
I have a formula when r < R but dont knowhow to handle it if r > R. thanks for looking!

Explanation / Answer

electric field E = R ^ 2 / ( 2 r ) where = charge density = 16 C / m ^ 2 radius R = 14 cm = 0.14 m distance r= 26 cm = 0.26 m permitivity of free space = 8.85 * 10 ^ -12 C ^ 2 / N m^ 2 plug the values weget E = 0.0681 * 10 ^ 12 N / C

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