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Unformatted text preview: Lab 2: Equipotentials and Lines of Force Lab 2 Report (100 pts) Name: ' PHYS 1214 (fry; Section: 3 ~:.__’/  /— 3""in ’ 2 i Day and Tlme: low; a: ‘ ' i (k, Station Check: 5 Z 1. Draw the corresponding set of equipotential curves on the graph paper by connecting the
points at a given potential with a smooth curve. Each equipotential must be labeled with the
correct digital multimeter (DMM) reading. (30 pts) 2. The Lab TA will choose a particular point, point P, on each of the graphs. 3. Determine the magnitude and direction of the electric ﬁeld at point P for the point/point
conﬁguration. Refer to the procedures outlined on page 21 & 22 and illustrated in Figure 3. (4 pts) I Draw a line through point P tangent to the equipotential curve on which point P lies.
Now draw a line through point P perpendicular to the tangent line. Extend the
perpendicular line to both adjacent equipotentials. I Determine which of the two adjacent equipotentials is closer to the equipotential on
which point P lies. Measure the distance along the perpendicular line between point P
and the closer of the two adjacent equipotentials. Record this distance as AX below. AX: 5.4 cm I The magnitude of the electric ﬁeld at point P, denoted by Ep, is equal to the spatial rate of
change of the electric potential at point P, 5 2 C, x}, , A 1
,— w X Z a x f
E = ——— i L/ ’ : er—flﬂjuwvm ’ ’5 fr: ’ ’3, jar:
P AX P‘ / .0 r 4 46
Calculate the magnitude of the electric ﬁeld at point P, Ep. Show all work, including A»
correct use of units. K/ﬁrmﬁw J A h El, = 1,4, z a /L I Determine the direction of the electric ﬁeld at point P (cf. pages 5 and 6). Correctly draw /
an arrow on the graph that represents the electric ﬁeld at point P. ~ 25 Lab 2: Equipotentials and Lines of Force ' \ 4. Repeat #3 for the bar/bar conﬁguration. (4 pts) AX: {7 cm 5. Correctly sketch ﬁve lines of force for the conﬁguration of electrodes. One line of force is
along the line that bisects both electrodes. Sketch three" lines of force above the line of force
that bisects both electrodes. Use symmetry to sketch three lines of force below line of force that bisects both electrodes. Indicate the direction of each line of force with a small arrow.
Note: The lines of force are orthogonal to the equipotential curves, which include the boundaries of the electrodes. (20 pts) 6. Where on the graph is the magnitude of the electric ﬁeld greatest? Explain your answer in
terms of the spacing of the equipotentials. (4 pts) 0/ 3‘ ,7 J / ‘rgﬁfﬁ k : it: m ' . r “I g“; 4/“ “if? if”! s '5" ‘ r I V invite" a 95!, é"??? 1‘ 5' ,
, f. ; 7. Can two different equipotentials intersect one another? Why or why not? (Hint: If two
equipotentials did cross, what would be the direction of the electric force exerted on a small test charge placed at their intersection?) (3 pts) I ,« r 7‘2? 1 ’c, r if z g ,4? ‘ . __...,.
A] o ) (99w,g,;x,..a..g } r . ,, a v .3 /
Q [915ng z, E } ram? 5’, m. ~; 5; ’ : ’ Mfr“ 533' :1?ng g:_.~;tca,:g 1*» r ‘ ' ' 8. How much work is required to move a small test charge from one point on an equipotential
to a different point on the same equipotential? Explain. (3 pts) 3,4,, x f (I w g"?
l v i w/ Zewbi a“ J" v > “ﬁx:
I A E f ‘ I
{\m—w—«Wr’ ""‘MMJ w V, A i w ,3’ ((3 g m 53:9 « 26 Lab 2: Equipotentials and Lines of Force 9. An electric ﬁeld is said to be uniform throughout a region of space if the electric ﬁeld vectors
have the same magnitude and direction at every point in the region. (10 pts) —> ——> —> ——> ——> ————>——————
——> ———> ——> ——> ——> ————>——————
——> ——> ——> ——> ——> ———>——#—
——> —’ ——> ——> —> ————>—————
—> ———> ——> ——> ——P ———E————
Field vectors have the same magnitude and direction. Field lines are equally spaced => ﬁeld vectors have the same magnitude.
Field lines are parallel lines =>
ﬁeld vectors point in the same direction. A. Describe a uniform electric ﬁeld in terms of equipotentials. An incorrect or insuﬁ‘icient
description will receive no credit. m» 7 g ’ ,
~‘:Y ,‘ 7n!“ ‘_ ,7“ if a“ ‘,.m‘ ,< "~ '3
Fl ’ f ‘ *1 2. *9 . .3, i .1 l , ._ I ’9 a I. . . > [ringing  . ,. /_ t . . 0 4'. V. ii ‘3 .. f}?
z _ n t ,
. Ar “3‘ . / My; .m , l A ., ' X“ l
gfiﬂxxgx ‘. w :I' > I , ./ : t‘ \K B. Sketch a set of equipotentials that is consistent with your description in part A and with
the set of lines of forces shown above. Pay careful attention to the spacing, crossing ﬁeld lines, etc. Incorrectly or inaccurately drawn equipotentials will be assigned no credit. Identify the equipotentials corresponding to the largest value of the electric potential and
to the smallest value of the electric potential .‘ W“ l 1 0V 2
1 k a 27 Lab 2: Equipotentials and Lines of Force 10. An electric ﬁeld is radial if the ﬁeld lines tend to “radiate” outward (or inward) from a
common point. (8 pts) I The ﬁeld lines
The electric ﬁeld vectors are radiate outward
all directed radlally outward. A. Describe a radial electric ﬁeld in terms of the equipotentials. : , l N
W Q? L?“ ‘1 5’ " Z ii {) 9 “"3" *1: W755" "a? L? if?" cal B. Sketch a set of equipotentials that is consistent
with your description in part A and with the set of
lines of forces shown above. Pay attention to the
spacing, crossing ﬁeld lines, etc. Incorrectly or inaccurately drawn equipotentials will be
assigned no credit. Identify the equipotentials corresponding to the
largest value of the electric potential and to the
smallest value of the electric potential . , a M 5m WWW: a. f " a
i mg i 11. Describe the electric ﬁelds for the two conﬁgurations of electrodes. Use terms like “radial”
and “uniform.” (14 pts) W 6W, /. K x :
,3”...
git1,. t... . a W1,“ “Ad x l k. » ‘ 1r ‘
i y . ,7 . tr vi ,,  l 57‘” {if}. 5 . (’vxj‘xr’ 3‘}: xi? wf‘ﬁf‘tgf'l ; ‘ 1 ~ r / 0 Mark the uniform and/or radial parts on each of the conﬁgurations. Attach the graph to the Lab Report!!! 28 734+ 5, W. V‘slﬁh.‘ .‘ {51:52sV;,gattfﬂw‘éit.>z§SVvtwiésrigh. 1 ‘,.,« ‘ ~ ...
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