Question

can anyone help in solving this problem

Answer 1

\[\Delta c= 2\pi k[\frac{ 1 }{ \ln (2(h+\Delta h)/r) }-\frac{ 1 }{ \ln(2h/r) }]\]
please write it in the form of dc/dh, r,k are constant

Answer 2

@across

Answer 3

@hartnn

Answer 4

definition of dc/dh in terms of delta c and delta h ??

Answer 5

delta h tends zero

Answer 6

so u only need to take the limit of that function ??

Answer 7

the term in log how it can be simplified?

Answer 8

limit formula for log
lim x->0 log(1+x) / x = 1

Answer 9

i think this might help

Answer 10

it is not log @hartnn is ln

Answer 11

ok, in numerator u get
ln(2h/r)-ln(2h/r+2deltah/r) = ln ((2h/r)/(2h/r+2delta h/r))

Answer 12

lim x_0 ln(1+x)/x=1

Answer 13

one more query.. how to deal with terms such as ln(a) x ln(b)
Is there any way out?

Answer 14

generally no simplification but depends on function.....

Answer 15

could u do this onee ?

Answer 16

I am trying Ill let you know thanks for the help.