### Charge Distributions and Work Done by an Electric Field**Introduction to Charge Distributions:**Three charge distributions are depicted in the diagram.1. **Spherical Shell:** - A thin, insulating spherical shell with a radius of \(3a\). - It has a charge of \(-2Q\) uniformly distributed over its surface (where \(Q\) is positive, and the units are in Coulombs).2. **Circular Arc:** - A circular arc that spans \(90^\circ\). - The curve has a non-uniform charge density given by \(\lambda_c = \left(\frac{Q}{a}\right) \sin \phi\), where \(a\) is positive, and \(\phi\) is the angle measured from the \(-x\) axis.3. **Straight Rod:** - A thin, straight rod with uniform charge density. - The rod carries a total charge of \(-3Q\) and extends from \(x = -2a\) to \(x = 2a\) at \(y = 2a\).**Problem Statement:**a) Calculate the work done by the electric field in moving a charge \(-Q\) from infinity to the origin. Assume the charge starts and ends at rest.b) Determine whether the work calculated in part (a) is positive, negative, or zero.**Guidelines for Solutions:**- Your answers should include the variables \(Q\), \(a\), and relevant constants such as \(\varepsilon_0\) (the permittivity of free space) and/or \(k\) (Coulomb's constant).**Diagram Overview:**- The diagram features a coordinate system with axes labeled \(x\) and \(y\).- The spherical shell is centered at the origin and has its surface extending out to a radius of \(3a\).- The circular arc spans the lower right quadrant of the shell from the negative \(x\)-axis, highlighted in red.- The straight rod is shown as a horizontal line segment above the x-axis from \(-2a\) to \(2a\), at a height of \(y = 2a\) (highlighted in red).This setup is used to explore the concept of electric fields and the work associated with moving charges in various electric field configurations.

1.For the spherical shell, The potential is given by V1=-14πε02Q3a2 2. For the circular arc, The…

Answered: a) Find the work done by the field in…

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a) Find the work done by the field in moving a charge, -Q, from infinity to the origin. The charge starts and ends at rest. b) Specifically state if the work calculated in part a is positive, negative, or zero.