An intuitive understanding of conductance
hi,
i don't understanding things "by formulas". totally understanding, intuitive perspective, ohm's law. struggling intuitive understanding of conductance.
conductance seen 1/r. it's me mathematical "reciprocal". but... happens when _see_ them?
here:
http://fooplot.com/#w3sidhlwzsi6mcwizxeioij4iiwiy29sb3iioiijmdawmdawin0seyj0exblijowlcjlcsi6ijevecisimnvbg9yijoiizawmdawmcj9lhsidhlwzsi6mtawmcwid2luzg93ijpbii0xmi42otuzmti0otk5otk5oteilcixmi42otuzmti0otk5otk5oteilcitny44mti0otk5otk5otk5otqilci3ljgxmjq5otk5otk5otk5ncjdfv0-
(also, see attached image)l
while it's true, "the lower resistance, bigger conductance", while resistance linear (y=x), conductance not: can see how conductance curve in fact linear.
how see in "intuitive" way? intuitive point of view, conductance linear resistance -- is, intuitively speaking, resistance goes up, conductance go down proportionally.
so, what's intuitive way of explaining "curve"?
merc.
i don't understanding things "by formulas". totally understanding, intuitive perspective, ohm's law. struggling intuitive understanding of conductance.
conductance seen 1/r. it's me mathematical "reciprocal". but... happens when _see_ them?
here:
http://fooplot.com/#w3sidhlwzsi6mcwizxeioij4iiwiy29sb3iioiijmdawmdawin0seyj0exblijowlcjlcsi6ijevecisimnvbg9yijoiizawmdawmcj9lhsidhlwzsi6mtawmcwid2luzg93ijpbii0xmi42otuzmti0otk5otk5oteilcixmi42otuzmti0otk5otk5oteilcitny44mti0otk5otk5otk5otqilci3ljgxmjq5otk5otk5otk5ncjdfv0-
(also, see attached image)l
while it's true, "the lower resistance, bigger conductance", while resistance linear (y=x), conductance not: can see how conductance curve in fact linear.
how see in "intuitive" way? intuitive point of view, conductance linear resistance -- is, intuitively speaking, resistance goes up, conductance go down proportionally.
so, what's intuitive way of explaining "curve"?
merc.
you have realise many parameters used in maths, electronics etc 'constructs'. many parameters used make calculations more convenient, or more efficient. or calculations or formulas more compact , neat when particular parameters used. depends on situation.
also.... comment 'linear'. linear definition. if 1 variable has linear relationship other, y = k.x
the relation applies parameters 'y' , 'x'. if apply nonlinear operation g = 1/x, parameter 'y' isn't going have linear relationship 'g'.... because nonlinear operation carried out.
now, though g 1/r ..... calculations can convenient when working g. and, in end, long know link between g , r, (ie. take inverse or reciprocals etc), can undo. if end getting value of 'g', can counterpart value of it... ie. 1/g = r.
also.... comment 'linear'. linear definition. if 1 variable has linear relationship other, y = k.x
the relation applies parameters 'y' , 'x'. if apply nonlinear operation g = 1/x, parameter 'y' isn't going have linear relationship 'g'.... because nonlinear operation carried out.
now, though g 1/r ..... calculations can convenient when working g. and, in end, long know link between g , r, (ie. take inverse or reciprocals etc), can undo. if end getting value of 'g', can counterpart value of it... ie. 1/g = r.
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