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Introductory Physics Homework Help
Is the Calculation of Linear Density k for a Uniformly Charged Bar Correct?
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[QUOTE="ToucanFodder, post: 6389756, member: 681629"] [B]Homework Statement:[/B] A charge Q is distributed on a insulating bar of lenght L with linear density λ, expressed in C/m. λ=kx where k is a constant and x the distance of the generic point P expressed in meters from the origin of the bar O. 1)Calculate k 2)Calculate the electric potential at the point A positioned perpendicularly from O at a distance R [B]Relevant Equations:[/B] λ=kx I attached a drawing of the problem for a better understanding and my attempted solutions. The first point is fairly simple but there's something that I can't figure out. dq=λdx=kxdx Q=∫ k x dx from 0 to L -> Q=k[x^2/2]0-L -> Q=(L^2/2)k -> k=2Q/L^2 This is what I came up with. I integrated on the entire bar and calculated k but I'm not quite sure that's correct honestly. I feel like it makes sense mathematically but not physically? Linear density in general is C/m and here I have something that will look like this C/m=(C/m^2)x. Is that fair? I don't understand but I'd really love to. Point 2 wasn't too bad I just repeated a similar reasoning this time using the electric potential formula. I attached my calculations since writing them down in this format doesn't provide a great result. I think I got it right but I'd love for some feedback if I missed the point. Also sorry for some mistakes, English is not my first language and scientific terms and expressions can be hard. [/QUOTE]
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Introductory Physics Homework Help
Is the Calculation of Linear Density k for a Uniformly Charged Bar Correct?
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