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Given a non-uniform VOLUME charge density \( \rho = k_0 \cdot r \cdot z \cdot \cos^2 \phi \), where \( k_0 \) is a constant, \( r, \phi, z \) are cylindrical coordinate variables.

14. Find the total "Q" placed in a closed cylinder of radius "R" and length "L" centered on the origin with one base in the x-y plane, along the positive z-axis.

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Any function when expressed in spherical coordinates that is only a function of the radial distance from the origin is said to have spherical symmetry.
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Transcribed Image Text:Given a non-uniform VOLUME charge density \( \rho = k_0 \cdot r \cdot z \cdot \cos^2 \phi \), where \( k_0 \) is a constant, \( r, \phi, z \) are cylindrical coordinate variables. 14. Find the total "Q" placed in a closed cylinder of radius "R" and length "L" centered on the origin with one base in the x-y plane, along the positive z-axis. --- Any function when expressed in spherical coordinates that is only a function of the radial distance from the origin is said to have spherical symmetry.
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hey dear this question is from electrostatics I solved it with diagram

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