Recent content by weesiang_loke

Anyone pls help ...

Homework Statement Given a coaxial cable with outer conductor of radius b, and inner conductor of radius a. Prove that maximum potential is obtained when a = b /e, e is base of natural log. Homework Equations gauss law, ...The Attempt at a Solution By using Gauss Law, for a < r < b, i have E =...

Homework Statement based on the diagram attached, find the electric field E that varies with r. the line and the metallic cylindrical shell are infinitely long. the outer radius of the cylindrical shell is b and the inner one is a and the line charge density for the line is \lambda and the line...

well i have solved it. thanks for anyone who tried or trying to do this question. cheers, weesiang_loke

Homework Statement Consider a small box mass m initially at the bottom of an inclined plane mass M, length L with angle of inclination of \theta. The surface between the plane and the block and the plane and the horizontal are both frictionless. A force F is applied horizontally to the small...

Thanks Hootenanny and tiny-tim.

Homework Statement Consider a solid disc (cylinder) with mass M and radius R initially rotates with an angular velocity \omega. Then it is slowly lowered to a horizontal surface with coefficient of kinetic friction, \mu. What is the distance of the disc traveled before it starts to roll...

I think i got it now. Thanks for the help, micromass, Gib Z and JG89. Both methods actually work. God bless you all and have a nice day. Cheers, weesiang_loke

for integral test... we need to at least to integrate (x^(1/x) - cos (1/x)). but i can't find a way to integrate x^(1/x) or cos (1/x)... (may be my current understanding of calculus is not sufficient for the integration) and i am not sure how to apply the Cauchy condensation test... can you...

sorry i copied the wrong question. it should be minus instead of plus

limit n to inf n^(1/n) is one, right? and limit n to inf cos(1/n) = cos (0) = 1. so the sum of two limit is zero. pls tell me what i did wrong.. thanks

even if you take limit that way the answer will be zero. so it is not conclusive by divergence test..

not limit but summation, a series

Homework Statement inf \sum ( \sqrt[n]{n} - cos (\frac{1}{n} ) *** edited n=1 the series converges or diverges? Homework Equations ratio test, dirichlet's test, comparison test, etcThe Attempt at a Solution i tried a lot of method but still cannot get the answer... from what i know, limit n...

hi actually the straight line intercepts with y-axis. you can substitute the x value and y value into the equation you found. Obviously they cannot fit. so the gradient you get is -3/4, which is the correct one. y = (-3/4)x + c; one way to find c is by substituting (1, 4) into equation stated...