Electric Field Calc: Determine Magnitude w/ Spreadsheets/Calculus

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To determine the electric field magnitude between two lines of charge using spreadsheets or calculus, one can apply the integral of dE, represented as [k*(Q/L)*dY]/r^2. The discussion highlights a practical experiment involving aluminum ink on conductive paper, where 15 volts were applied to one strip while grounding the other, measuring voltage along a central line. The challenge lies in calculating the charge (Q) on the capacitor's sides, as only voltage and distance are available. The user seeks guidance on how to derive Q from the given parameters to proceed with the calculations. Ultimately, the conversation focuses on integrating these concepts to achieve accurate electric field measurements.
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using calculus, spreadsheet techniques or mathcad, determine the magnitude fo the electric field for the capacitor along the line parallel to and equidistant from both of your lines of charge.

what we did was place aluminum ink on a conductive paper. we applied 15 volts to one strip and grounded the other. we measured the voltage along a line between the center of the lines of charge.
i want to use spreadsheet techniques to do this, but the way its looking i don't have the correct information. can i use a line straight down the center of the cap to find the magnitude of the electric field with calculus or spreadsheets? if so, how do i do either? just looking for some direction.
 
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i think I've got an idea of how to do this. use the integral of dE, which equals the integral of [k*(Q/L)*dY]/r^2. or some similar equation, if i keep changing the test point it should give me what i want if i average. correct?
 
okay, i think I've got the equation set. but it requires Q. i don't know how to find Q. Q will be the charge on the sides of the cap. all i have is the voltage and distance
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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