Recent content by badirishluck

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    Series: $\Sigma n!/n^n$ - Why Does it Converge?

    Homework Statement \Sigman!/n^n index n=1 to infinity Homework Equations The Attempt at a Solution Using the Ratio test (limit as n goes to infinity of a_{n+1}/a_{n}) and found that the series converges. However, I thought that factorials grew faster than exponential...
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    Determining Divergence or Convergence in Series

    Homework Statement \sum (2n^{2}+3n)/\sqrt{5+n^{5}} index n=1 to infinity Homework Equations The Attempt at a Solution I tried both the Ratio Test (limit as n goes to infinity of a_{n+1}/a_{n}) and the Limit comparison test (limit as n goes to infinity of a_{n}/ b_{n}) but wasn't...
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    Solving E&M Homework Problem: Find Force on 3rd Charge

    I was able to find the Fy and Ftotal components. How do I find the angle of the total force in radians. I tried: Fy/Fx = (-5.7*10^-5)/(8.61*10^-5) = .662 Cos.662 = .789 radians Sin.662 = .614 radians Tan.662 = .779 radians All of these were wrong. What should I try now?
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    Solving E&M Homework Problem: Find Force on 3rd Charge

    Oh boy. How silly of me. I was able to get the Fx component this way. Thank you so much! However, I am still confused on how to find the Fy and the Ftotal. Using the same procedure, I got 6.38*10^-5 for Fy(13) and -7.2*10^-5 for Fy(23) To get the Fytotal 6.38*10^-5 - 7.2*10^-5 =...
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    Solving E&M Homework Problem: Find Force on 3rd Charge

    This is what i did to find Fx: To find r between Particle 1 (5.03*10^-9) and Particle 3 (6.01*10^-9) Sqrt[(3*10^-2)^2 + (4.04*10^-2)^2] = 5.032*10^-2 To find the F13: (9*10^9)*(6.01*10^-9)*[(5.03*10^-9)/((5.0321*10^-2)^2) = (5.409*10^1)*(1.9864*10^-6)...
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    Solving E&M Homework Problem: Find Force on 3rd Charge

    Homework Statement A particle of charge 5.03 nC is placed at the origin of an xy-coordinate system A second particle of charge -2.00 nC is placed on the positive x-axis at x = 4.04 cm. A third particle, of charge 6.01 nC is now placed at the point x = 4.04 cm, y = 3.00 cm. Find...
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