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A charge of -6.00 nC is spread uniformly over the surface of one face of a nonconducting disk of radius 1.25 cm .Find the magnitude of the electric field this disk produces at a point P on the axis of the disk a distance of 2.50 cm from its center.Suppose that the charge were all pushed away from the center and distributed uniformly on the outer rim of the disk. Find the magnitude of the electric field at point P. If the charge is all brought to the center of the disk, find the magnitude and direction of the electric field at point P.

Question

A charge of -6.00 nC is spread uniformly over the surface of one face of a nonconducting disk of radius 1.25 cm .

Find the magnitude of the electric field this disk produces at a point P on the axis of the disk a distance of 2.50 cm from its center.

Suppose that the charge were all pushed away from the center and distributed uniformly on the outer rim of the disk. Find the magnitude of the electric field at point P. 

If the charge is all brought to the center of the disk, find the magnitude and direction of the electric field at point P.

check_circleAnswer
Step 1

The surface charge density of the circular disc is

A
TR2
-6.0nC 10C
1nC
2
1.25cm 10 m
1m
1.22 x 10
C/m2
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Image Transcriptionclose

A TR2 -6.0nC 10C 1nC 2 1.25cm 10 m 1m 1.22 x 10 C/m2

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Step 2

The magnitude of electric field along the axis of a circular disc

o (2,7)
- 9 x10 N m2/C2
4πεο
E
1
Απε
R2
-(1.22x 10 C/m2)(27) (9 x10 N -m2/c)x
X
107m
2.50 cm x
lcm
1 -
102m
1.25cm x
1cm
102m
2.50 cm x
lcm
9.831 x10 N/C
help_outline

Image Transcriptionclose

o (2,7) - 9 x10 N m2/C2 4πεο E 1 Απε R2 -(1.22x 10 C/m2)(27) (9 x10 N -m2/c)x X 107m 2.50 cm x lcm 1 - 102m 1.25cm x 1cm 102m 2.50 cm x lcm 9.831 x10 N/C

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Step 3

The charges were all pushed away from the center and distributed uniformly on t...

1
E
4περ -+R
3/2
102m
10 C
2.50 cm x
6.0nCx
1cm
nC
-(9x10'N -m'/c)
3/2
102 m
10 m
2.50 cm
1.25cm x
lcm
1cm
6.182 x104 N/C
help_outline

Image Transcriptionclose

1 E 4περ -+R 3/2 102m 10 C 2.50 cm x 6.0nCx 1cm nC -(9x10'N -m'/c) 3/2 102 m 10 m 2.50 cm 1.25cm x lcm 1cm 6.182 x104 N/C

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