d
of
In a cubical volume of side length

Question

d
of
In a cubical volume of side length a = 0.50 m, the electric field is
Ē= E.(1 +2.5%)i + E (1+2.2%)ì, where E, = 0.15 N/C. The cube has
its sides parallel to the coordinate axes as shown in the figure. Determine the net
charge within the cube in units of picocoulomb
(1pC = 10-12 C).
(Take cp = 8.85 x 10-12 C2/(Nm²).)
(co
)
tion
017
Answer:
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Kunduz · Accepted Answer

Z
10(1+2:29)
1
dz
d2
h
1
fo(1+ 2.5%)?
200
slab of thickness dz from
We choose a differential
a distance z' from y axis.
The varies with ?
coordinate only. The electric
V
the net flux
Feld components at the parent com have comitent magnitude.
Let us consider faces. I and 3.
Net fun through y component of the field inzero
(or area vector and field vector are to to each other)
And net fuer due to x component is also zero because
in through face 3 is equal to flux out
through face to
Similarly net fluz through 2 and 4 is also zero.
a. Flux through the
in using Gaun law
we can say net
charge enclosed by
constant volume is
slate
entire elementary
$ Eidszorº;
q
to
the
zero.

d of In a cubical volume of side length a = 0.50 m, the electric field is Ē= E.(1 +2.5%)i + E (1+2.2%)ì, where E, = 0.15 N/C. Th