What is the linear charge density along the arc?

Question

8

lyytutoriaExpert

Asked: April 13, 20222022-04-13T05:51:05+00:00 2022-04-13T05:51:05+00:00In: Physics

What is the linear charge density along the arc?

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A total charge Q = 4.6 μC is distributed uniformly over a quarter circle arc of radius a = 6.7 cm as shown.

a) What is the linear charge density along the arc?

b) What us E_x, the value of the x-component of the electric field and E_y the value of the y-component of the electric field at the origin (x,y)=(0,0)

c) What is the magnitude of the electric field at the origin produced by a semicircular arc of charge 9.2μC, twice the charge of the quarter-circle arc?

♦ Relevant knowledge

In the case of a charged arc an electric field that is present at every place that is away from the center will depend on the density of charge in the material. It is considered to be a vector which means it has two components on the coordinate axes, in two dimensions.