Density, density, density. (a) a charge -301e is uniformly distributed along a circular arc of radius 5.60 cm, which subtends an angle of 53o. what is the linear charge density along the arc? (b) a charge -301e is uniformly distributed over one face of a circular disk of radius 4.80 cm. what is the surface charge density over that face? (c) a charge -301e is uniformly distributed over the surface of a sphere of radius 5.20 cm. what is the surface charge density over that surface? (d) a charge -301e is uniformly spread through the volume of a sphere of radius 4.10 cm. what is the volume charge density in that sphere?

(a): Linear charge density of the circular arc =

(b): Surface charge density of the circular arc =

(c): Volume charge density of the sphere =  

Explanation:

Part (a):

Given:

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.

Part (b):

Given:

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.

Part (c):

Given:

Volume of the sphere,

The volume charge density of the sphere is defined as the charge in the unit volume of the sphere.

think about the oscillation of the toy shown in the video. when the toy is at the highest point of its motion, its velocity is zero and its acceleration is negative.

resonant frequency