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phys125 proj5

# phys125 proj5 - integral(d(V)=(r/2(r^2...

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Phys 125 Project 5 Calculus of Finding the Potential of a Charged Disk Part a) Show that V(x)=integral(d(V)) d(V)=k(dq)/(x^2+r^2)^(1/2) dq=2(pi)(sigma not)(r^2)dr/a where a=1 (sigma not)=1 and k=1 so d(V)=2(pi)(r^2)dr/(r^2+x^2)^(1/2) which integrated equals

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Unformatted text preview: integral(d(V))= (r/2)(r^2+x^2)^(1/2)-((x^2)/2)(log[r+(r^2+x^2)^(1/2)]) V(x)= (a/2)(a^2+x^2)^(1/2)-(x^2/2)(log[a+(a^2+x^2)^(1/2)]/x) which is very close to equaling eachother. Part b) Show that Ex=-dV/dx...
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phys125 proj5 - integral(d(V)=(r/2(r^2...

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