A conducting wire with radius R = 2mm is shown below: It's a cylinder (not a...

Transcribed Image Text:

A conducting wire with radius R = 2mm is shown below: It's a cylinder (not a perfect line), and is very long (the image shows a croes sectional cut so you can visualize it, but assume it is effectively infinitely long). Each meter of wire is given a charge of +1.0 pC. a) Where does the charge on the wire go? In other words, once this conductor is given a charge, what part of it does the charge flow to? b) Here is a view of the wire as seen from the side, with an axis added for your convenience. What direction will the electric field point at the point P? AY P = (0, 5mm) c) Draw a Gaussian surface enclosing a piece of the above wire such that the electric field is constant at all points along each piece of the surface (or zero), and is always either perpendicular or parallel to the normal of the area, and includes the point P so we can calculate it. Hint: consider the symmetry inherent to the shape of the wire. d) What is the electric field at the point P? Use Gauss's law, and give your answer as a vector. A conducting wire with radius R = 2mm is shown below: It's a cylinder (not a perfect line), and is very long (the image shows a croes sectional cut so you can visualize it, but assume it is effectively infinitely long). Each meter of wire is given a charge of +1.0 pC. a) Where does the charge on the wire go? In other words, once this conductor is given a charge, what part of it does the charge flow to? b) Here is a view of the wire as seen from the side, with an axis added for your convenience. What direction will the electric field point at the point P? AY P = (0, 5mm) c) Draw a Gaussian surface enclosing a piece of the above wire such that the electric field is constant at all points along each piece of the surface (or zero), and is always either perpendicular or parallel to the normal of the area, and includes the point P so we can calculate it. Hint: consider the symmetry inherent to the shape of the wire. d) What is the electric field at the point P? Use Gauss's law, and give your answer as a vector.