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...
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...
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...
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
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...