Do you integrate a variable charge density when solving for Q?

vendredi 29 novembre 2013

For example, let's say there was an block infinitely long in the x and y direction and in the z direction bounded by positive and negative a.



I am trying to find the charge of a imaginary partition infinitely long in the x and y direction and in the z direction bounded by positive and negative b, where b is less than a.



Here is where I get confused, if the charge density is something like p = p0*(a^2 - z^2), where z in the case is b, as mentioned above.



dQ = p * dV



Do i integrate from here or do I substitute in p = p0*(a^2 - z^2), and then integrate?






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