What is the flux through a cube of side 'a' if a point charge of q is at one of its corner :
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Answered by
35
Answer:
ACCORDING TO THE GIVEN PROBLEM, THE CAHRGE IS PLACED AT THE CORNER OF THE CUBE AS SHOWN IN FIGHURE_1,
NOW CONSIDER THE ANOTHER FIGURE_2 IN WHICH THE WHOLE CHARGE IS ENCLOSED IN THE FOUR SUCH CUBE,
NOW CALCULATING THE FLUX THROUGH THE ALL CUBES AS TOTAL:
ϕ
e
ϵ
0
q
= EA
WHERE
A=
6∗
(2a)
2
FOR ONLY ONE SIDE OF FIRST CUBE,
AREA WILL BE
A
0
a 2
FROM ABOVE DATA FLUX THROW THE SINGLE FACE (AREA =
A
0
) IS GIVEN BY:
ϕ
e
ϵ
0
Q
= EA
0
WHERE
Q=
24
q
SO THE FLUX THROUGH THROUGH THE SINGLE FACE IS
24ϵ
0
q
Answered by
2
we have shown a point charge q at one corner of a cube of side a. This charge can be imagined at the centre of eight identical cubes as shwon in Fig. According to Gauss's theroem in electrostatics, electric flux through the given cube.
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