Would be able to help me answer this please? Consider a straight, non-conducting rod of length L that is charged such that its charge density increases linearly from zero at one end to a maximum λₒ at the other. Derive an expression for the total charge on the conductor in terms of L and λₒ.   I know that the total charge density is equal to αx (α being a constant and x being a small amount of L), and that dq=λdx and that you integrate, but how am I meant to get it in terms of λₒ and L ???

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.