a d The figure shows a uniformly charged rod with Die figuur toon 'n uniform gelaaide staaf met lengte length a, carrying a total charge of Q. You need a, wat 'n totale lading van Q bevat. U moet to derive an expression for the electric field gen- uitdrukking aflei vir die elektriese veld wat die staaf erated by the rod at point P, which is a distance by punt P, wat 'n afstand d onder die linker end d below the left end of the rod. van die staaf is, genereer. (a) Redraw the figure and show elearly how you plan Teken die figuur oor en dui duidelik aan hoe u to parametrise the rod. Indicate a general in- die staaf gaan parametriseer. Toon 'n algemene finitesimal segment and include any vectors rele- infinitesimale segment aan, en sluit enige vektore vant to your calculation. This figure is an inte- in wat relevant sal wees vir u berekening. Hierdie gral part of your calculation, and should provide figuur is 'n integrale deel van u berekening en moet the reader with enough information to be able to die leser moet genoeg inligting voorsien om u werk follow your work. (b) te kan volg. Write down an expression for dE, the electric field Skryf 'n uitdrukking neer vir dỂ, die elektriese veld generated at point P by an infinitesimal segment. wat die segment by punt P genereer. Maak seker Ensure that the dependence on the parametrisa- dat die parametrisasie koördinaat eksplisiet in u uit- tion coordinate is explicit in your expression. drukking verskyn. Write down an expression for dE,, the z- Skryf 'n uitdrukking neer vir dE,, die r-komponent component of dẾ, and calculate E,, the z- van dỂ, en bereken E, die z-komponent van die component of the field at point P. (d) (c) veld by punt P. Repeat the steps above to determine the y- Herhaal die stappe hierbo om die y-komponent van component of the field at point P. die veld by punt P te bepaal.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The figure shows a uniformly charged rod with
length a, carrying a total charge of Q. You need
to derive an expression for the electric field gen-
erated by the rod at point P, which is a distance
d below the left end of the rod.

(a) Redraw the figure and show clearly how you plan
to parametrise the rod. Indicate a general in-
finitesimal segment and include any vectors rele-
vant to your calculation. This figure is an inte-
gral part of your calculation, and should provide
the reader with enough information to be able to
follow your work.

(b) Write down an expression for dE~ , the electric field
generated at point P by an infinitesimal segment.
Ensure that the dependence on the parametrisa-
tion coordinate is explicit in your expression.

(C) Write down an expression for dEx, the x-
component of dE~ , and calculate Ex, the x-
component of the field at point P.

(d) Repeat the steps above to determine the y-
component of the field at point P.

a
d
The figure shows a uniformly charged rod with Die figuur toon 'n uniform gelaaide staaf met lengte
length a, carrying a total charge of Q. You need a, wat 'n totale lading van Q bevat. U moet
to derive an expression for the electric field gen- uitdrukking aflei vir die elektriese veld wat die staaf
erated by the rod at point P, which is a distance by punt P, wat 'n afstand d onder die linker end
d below the left end of the rod.
van die staaf is, genereer.
(a)
Redraw the figure and show elearly how you plan Teken die figuur oor en dui duidelik aan hoe u
to parametrise the rod. Indicate a general in- die staaf gaan parametriseer. Toon 'n algemene
finitesimal segment and include any vectors rele- infinitesimale segment aan, en sluit enige vektore
vant to your calculation. This figure is an inte- in wat relevant sal wees vir u berekening. Hierdie
gral part of your calculation, and should provide figuur is 'n integrale deel van u berekening en moet
the reader with enough information to be able to die leser moet genoeg inligting voorsien om u werk
follow your work.
(b)
te kan volg.
Write down an expression for dE, the electric field Skryf 'n uitdrukking neer vir dỂ, die elektriese veld
generated at point P by an infinitesimal segment. wat die segment by punt P genereer. Maak seker
Ensure that the dependence on the parametrisa- dat die parametrisasie koördinaat eksplisiet in u uit-
tion coordinate is explicit in your expression.
drukking verskyn.
Write down an expression for dE,, the z- Skryf 'n uitdrukking neer vir dE,, die r-komponent
component of dẾ, and calculate E,, the z- van dỂ, en bereken E, die z-komponent van die
component of the field at point P.
(d)
(c)
veld by punt P.
Repeat the steps above to determine the y- Herhaal die stappe hierbo om die y-komponent van
component of the field at point P.
die veld by punt P te bepaal.

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