Answer:
(a): Linear charge density of the circular arc =
(b): Surface charge density of the circular arc =
(c): Volume charge density of the sphere =
Explanation:
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<u>Part (a):</u>
<u>Given:</u>
- Total charge on the circular arc,
- Radius of the circular arc,
- Angle subtended by the circular arc,
We know, e is the elementary charge whose value is
Therefore,
Also, the length l of a circular arc is given as:
The linear charge density of the arc is defined as the charge in the unit length of the arc.
<u>Part (b):</u>
<u>Given:</u>
- Total charge on the circular disc,
- Radius of the circular disc,
Surface area of the circular disc,
The surface charge density of the disc is defined as the charge in the unit area of the disc.
<u>Part (c):</u>
<u>Given:</u>
- Total charge on the sphere,
- Radius of the sphere,
Volume of the sphere,
The volume charge density of the sphere is defined as the charge in the unit volume of the sphere.