potential at the center of a uniformly charged circular disk of radius 3.5cm is 550v. what is the total charge in disk?
Answers
So by integrating the potential due to one ring of radius r from zero to R we can get the total potential. If the disk is having a total charge Q its potential at a distance x distance away from the center on the axial line of the disk V=Q2πϵ0R2×(√R2+x2−x2) V = Q 2 π ϵ 0 R 2 × ( R 2 + x 2 − x 2 ) .
Answer:
The potential at the center of a uniformly charged circular disk of radius R = 3.5 cm is
V
0
=
550
V
,
relative to zero potential at infinity.
(a) What is the total charge q on the disk?
(b)What is the potential at a point on the axis of the disk at a distance of z = 5.0R from the center of the disk?
Electric Potential Due to a Charged Disk
An electric disk can be considered as made up of large number of rings of radius varying from zero to some value R, the radius of the disk. So by integrating the potential due to one ring of radius r from zero to R we can get the total potential. If the disk is having a total charge Q its potential at a distance x distance away from the center on the axial line of the disk
V
=
Q
2
π
ϵ
0
R
2
×
(
√
R
2
+
x
2
−
x
2
)
. When the term x = 0 we get the electric potential at the center of the disk as
V
=
Q
2
π
ϵ
0
R
. The term
ϵ
0
is the permittivity of free space.
Answer and Explanation:
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Given points
Radius of the circular disk R = 0.035 m
Potential at the center of the disk
V
0
=
550
V
Permittivity of free space ...