The formula kappaκ(x)equals=startfraction startabsolutevalue f double prime left parenthesis x right parenthesis endabsolutevalue over left bracket 1 plus left parenthesis f prime left parenthesis x right parenthesis right parenthesis squared right bracket superscript 3 divided by 2 endfraction f′′(x) 1+f′(x)23/2 expresses the curvature of a twice-differentiable plane curve as a function of x. find the curvature function of the curve

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we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v

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